15=-(1-6k)-4(k-8)

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Solution for 15=-(1-6k)-4(k-8) equation: 


Simplifying
15 = -1(1 + -6k) + -4(k + -8)
15 = (1 * -1 + -6k * -1) + -4(k + -8)
15 = (-1 + 6k) + -4(k + -8)

Reorder the terms:
15 = -1 + 6k + -4(-8 + k)
15 = -1 + 6k + (-8 * -4 + k * -4)
15 = -1 + 6k + (32 + -4k)

Reorder the terms:
15 = -1 + 32 + 6k + -4k

Combine like terms: -1 + 32 = 31
15 = 31 + 6k + -4k

Combine like terms: 6k + -4k = 2k
15 = 31 + 2k

Solving
15 = 31 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
15 + -2k = 31 + 2k + -2k

Combine like terms: 2k + -2k = 0
15 + -2k = 31 + 0
15 + -2k = 31

Add '-15' to each side of the equation.
15 + -15 + -2k = 31 + -15

Combine like terms: 15 + -15 = 0
0 + -2k = 31 + -15
-2k = 31 + -15

Combine like terms: 31 + -15 = 16
-2k = 16

Divide each side by '-2'.
k = -8

Simplifying
k = -8

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