-2k+2(2-3k)=-4(-2k+7)

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Solution for -2k+2(2-3k)=-4(-2k+7) equation: 


Simplifying
-2k + 2(2 + -3k) = -4(-2k + 7)
-2k + (2 * 2 + -3k * 2) = -4(-2k + 7)
-2k + (4 + -6k) = -4(-2k + 7)

Reorder the terms:
4 + -2k + -6k = -4(-2k + 7)

Combine like terms: -2k + -6k = -8k
4 + -8k = -4(-2k + 7)

Reorder the terms:
4 + -8k = -4(7 + -2k)
4 + -8k = (7 * -4 + -2k * -4)
4 + -8k = (-28 + 8k)

Solving
4 + -8k = -28 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
4 + -8k + -8k = -28 + 8k + -8k

Combine like terms: -8k + -8k = -16k
4 + -16k = -28 + 8k + -8k

Combine like terms: 8k + -8k = 0
4 + -16k = -28 + 0
4 + -16k = -28

Add '-4' to each side of the equation.
4 + -4 + -16k = -28 + -4

Combine like terms: 4 + -4 = 0
0 + -16k = -28 + -4
-16k = -28 + -4

Combine like terms: -28 + -4 = -32
-16k = -32

Divide each side by '-16'.
k = 2

Simplifying
k = 2

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