How do you do the problem 4k+7(-4-2k)=-2(k-2)
Please help me I keep trying and can't get the right answer thanks-steph
if you're trying to find the value of k which satisfies the equation, just unwind the expressions.
remove parentheses:
4k+7(-4-2k)=-2(k-2)
4k - 28 - 14k = -2k + 4
Now combine terms:
-10k - 28 = -2k + 4
Now move all the "k" stuff to one side and the numbers to the other:
-8k+2k = 4 + 28
Combine terms again:
-8k = 32
Divide by the coefficient of k:
k = -4
Thank you so much
To solve the equation 4k + 7(-4 - 2k) = -2(k - 2), we need to simplify both sides of the equation and then solve for the variable k.
Let's go step by step:
1. Distribute the 7 to the terms inside the parentheses on the left side and distribute the -2 to the terms inside the parentheses on the right side:
4k + 7(-4) + 7(-2k) = -2k + 4
Simplifying further, we get:
4k - 28 - 14k = -2k + 4
2. Combine like terms on both sides of the equation:
(4k - 14k) - 28 = -2k + 4
-10k - 28 = -2k + 4
3. Add 2k to both sides and add 28 to both sides to isolate the variable k:
-10k - 2k - 28 + 28 = -2k + 2k + 4 + 28
-12k = 32
4. Divide both sides of the equation by -12 to solve for k:
-12k / -12 = 32 / -12
k = -32 / 12
5. Simplify the fraction, if possible:
k = -8/3 or approximately -2.67
So, the solution to the equation is k = -8/3 or approximately -2.67.
Remember to always double-check your solution by substituting the value of k back into the original equation to make sure it holds true.