-2k+14k=-3(k-8)+4(-2+4k)

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Solution for -2k+14k=-3(k-8)+4(-2+4k) equation: 


Simplifying
-2k + 14k = -3(k + -8) + 4(-2 + 4k)

Combine like terms: -2k + 14k = 12k
12k = -3(k + -8) + 4(-2 + 4k)

Reorder the terms:
12k = -3(-8 + k) + 4(-2 + 4k)
12k = (-8 * -3 + k * -3) + 4(-2 + 4k)
12k = (24 + -3k) + 4(-2 + 4k)
12k = 24 + -3k + (-2 * 4 + 4k * 4)
12k = 24 + -3k + (-8 + 16k)

Reorder the terms:
12k = 24 + -8 + -3k + 16k

Combine like terms: 24 + -8 = 16
12k = 16 + -3k + 16k

Combine like terms: -3k + 16k = 13k
12k = 16 + 13k

Solving
12k = 16 + 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
12k + -13k = 16 + 13k + -13k

Combine like terms: 12k + -13k = -1k
-1k = 16 + 13k + -13k

Combine like terms: 13k + -13k = 0
-1k = 16 + 0
-1k = 16

Divide each side by '-1'.
k = -16

Simplifying
k = -16

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