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

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


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

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

Combine like terms: 32k + 2k = 34k
-32 + 34k = -4(2 + -7k)
-32 + 34k = (2 * -4 + -7k * -4)
-32 + 34k = (-8 + 28k)

Solving
-32 + 34k = -8 + 28k

Solving for variable 'k'.

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

Add '-28k' to each side of the equation.
-32 + 34k + -28k = -8 + 28k + -28k

Combine like terms: 34k + -28k = 6k
-32 + 6k = -8 + 28k + -28k

Combine like terms: 28k + -28k = 0
-32 + 6k = -8 + 0
-32 + 6k = -8

Add '32' to each side of the equation.
-32 + 32 + 6k = -8 + 32

Combine like terms: -32 + 32 = 0
0 + 6k = -8 + 32
6k = -8 + 32

Combine like terms: -8 + 32 = 24
6k = 24

Divide each side by '6'.
k = 4

Simplifying
k = 4

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