Can someone please help with these equations?!?

1.8k=6k-26
2.5/8a+6=3/4a
3.1/4n+10=2/3n
4. 20-1/5d=3/10d+16

1.

8k=6k-26
2k = -26
k = -13

2.
5/8a +6 = 6/8a
6 = 1/8a
48 = a

3.
3/12n +10 = 8/12n
10 = 5/12n
120 = 5n
24 = n

4.
20 - 2/10d = 3/10d +16
4 = 1/2d
8 = d

(I think. You should check.)

you are right!! thanks

Sure, I can help you with these equations!

1. Let's solve the equation 1.8k = 6k - 26.
To begin, we want to isolate the variable k. We can do this by moving all terms with k to one side of the equation and all constant terms to the other side.

Start by subtracting 1.8k from both sides:
1.8k - 1.8k = 6k - 1.8k - 26
0 = 4.2k - 26

Next, add 26 to both sides to isolate the term with k:
26 = 4.2k

Finally, divide both sides by 4.2 to solve for k:
k = 26 / 4.2
k ≈ 6.19

2. Let's solve the equation 2.5/8a + 6 = 3/4a.
Similar to the previous equation, we need to isolate the term with the variable a.

To eliminate the fraction in the equation, we can multiply all terms by the least common denominator (LCD) of 8 and 4, which is 8.

Multiply all terms by 8 to clear the fractions:
8 * (2.5/8a) + 8 * 6 = 8 * (3/4a)
2.5a + 48 = 6a

Now, subtract 2.5a from both sides:
2.5a - 2.5a + 48 = 6a - 2.5a
48 = 3.5a

Finally, divide both sides by 3.5 to find the value of a:
a = 48 / 3.5
a ≈ 13.71

3. Let's solve the equation 1/4n + 10 = 2/3n.
Similar to the previous equations, we start by isolating the term with the variable n.

To eliminate the fractions, we can multiply all terms by the least common denominator (LCD) of 4 and 3, which is 12.

Multiply all terms by 12 to clear the fractions:
12 * (1/4n) + 12 * 10 = 12 * (2/3n)
3n + 120 = 8n

Next, subtract 3n from both sides:
3n - 3n + 120 = 8n - 3n
120 = 5n

Finally, divide both sides by 5 to solve for n:
n = 120 / 5
n = 24

4. Let's solve the equation 20 - (1/5)d = (3/10)d + 16.
For this equation, we'll start by getting rid of the fractions.

To eliminate the fractions, we can multiply all terms by the least common denominator (LCD) of 10 and 5, which is 10.

Multiply all terms by 10 to clear the fractions:
10 * 20 - 10 * (1/5)d = 10 * (3/10)d + 10 * 16
200 - 2d = 3d + 160

Next, combine like terms by adding 2d to both sides:
200 - 2d + 2d = 3d + 160 + 2d
200 = 5d + 160

Then, subtract 160 from both sides:
200 - 160 = 5d + 160 - 160
40 = 5d

Finally, divide both sides by 5 to solve for d:
d = 40 / 5
d = 8

Hope this helps! Let me know if you have any other questions.