6(6+k)=-5(-2k-8)-8k

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Solution for 6(6+k)=-5(-2k-8)-8k equation: 


Simplifying
6(6 + k) = -5(-2k + -8) + -8k
(6 * 6 + k * 6) = -5(-2k + -8) + -8k
(36 + 6k) = -5(-2k + -8) + -8k

Reorder the terms:
36 + 6k = -5(-8 + -2k) + -8k
36 + 6k = (-8 * -5 + -2k * -5) + -8k
36 + 6k = (40 + 10k) + -8k

Combine like terms: 10k + -8k = 2k
36 + 6k = 40 + 2k

Solving
36 + 6k = 40 + 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.
36 + 6k + -2k = 40 + 2k + -2k

Combine like terms: 6k + -2k = 4k
36 + 4k = 40 + 2k + -2k

Combine like terms: 2k + -2k = 0
36 + 4k = 40 + 0
36 + 4k = 40

Add '-36' to each side of the equation.
36 + -36 + 4k = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 4k = 40 + -36
4k = 40 + -36

Combine like terms: 40 + -36 = 4
4k = 4

Divide each side by '4'.
k = 1

Simplifying
k = 1

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