4(-2k-8)=-2(-8+7k)

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Solution for 4(-2k-8)=-2(-8+7k) equation:


Simplifying
4(-2k + -8) = -2(-8 + 7k)

Reorder the terms:
4(-8 + -2k) = -2(-8 + 7k)
(-8 * 4 + -2k * 4) = -2(-8 + 7k)
(-32 + -8k) = -2(-8 + 7k)
-32 + -8k = (-8 * -2 + 7k * -2)
-32 + -8k = (16 + -14k)

Solving
-32 + -8k = 16 + -14k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '14k' to each side of the equation.
-32 + -8k + 14k = 16 + -14k + 14k

Combine like terms: -8k + 14k = 6k
-32 + 6k = 16 + -14k + 14k

Combine like terms: -14k + 14k = 0
-32 + 6k = 16 + 0
-32 + 6k = 16

Add '32' to each side of the equation.
-32 + 32 + 6k = 16 + 32

Combine like terms: -32 + 32 = 0
0 + 6k = 16 + 32
6k = 16 + 32

Combine like terms: 16 + 32 = 48
6k = 48

Divide each side by '6'.
k = 8

Simplifying
k = 8

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