I need help on this equation:
-5(-3n+4)-12=13
-5(-3n+4)-12=13
15n - 20 - 12 = 13
15n - 32 = 13
15n = 13 + 32
15n = 45
n = ?
-5(-3n+4)-12=13
Add 12 to both sides:
-5(-3n+4)=25
Divide across by 5:
3n - 4 = 5
Add 4 to both sides:
(you fill this in)
Finally, divide across by 3:
(you fill this in too!)
To solve the equation -5(-3n+4)-12=13, follow these steps:
Step 1: Simplify the equation by applying the distributive property.
Start by multiplying -5 with each term inside the parentheses:
-5 * -3n = 15n, and -5 * 4 = -20.
The equation becomes: 15n - 20 - 12 = 13.
Step 2: Combine like terms.
Combine the constant terms: -20 - 12 = -32.
The equation becomes: 15n - 32 = 13.
Step 3: Isolate the variable term.
To isolate the variable term, add 32 to both sides of the equation:
15n - 32 + 32 = 13 + 32.
Simplify: 15n = 45.
Step 4: Solve for n.
To solve for n, divide both sides of the equation by 15:
15n / 15 = 45 / 15.
Simplify: n = 3.
So, the solution to the equation -5(-3n+4)-12=13 is n = 3.