-2(k-7)-(3k-8)=-6k

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Solution for -2(k-7)-(3k-8)=-6k equation: 


Simplifying
-2(k + -7) + -1(3k + -8) = -6k

Reorder the terms:
-2(-7 + k) + -1(3k + -8) = -6k
(-7 * -2 + k * -2) + -1(3k + -8) = -6k
(14 + -2k) + -1(3k + -8) = -6k

Reorder the terms:
14 + -2k + -1(-8 + 3k) = -6k
14 + -2k + (-8 * -1 + 3k * -1) = -6k
14 + -2k + (8 + -3k) = -6k

Reorder the terms:
14 + 8 + -2k + -3k = -6k

Combine like terms: 14 + 8 = 22
22 + -2k + -3k = -6k

Combine like terms: -2k + -3k = -5k
22 + -5k = -6k

Solving
22 + -5k = -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
22 + -5k + 6k = -6k + 6k

Combine like terms: -5k + 6k = 1k
22 + 1k = -6k + 6k

Combine like terms: -6k + 6k = 0
22 + 1k = 0

Add '-22' to each side of the equation.
22 + -22 + 1k = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 1k = 0 + -22
1k = 0 + -22

Combine like terms: 0 + -22 = -22
1k = -22

Divide each side by '1'.
k = -22

Simplifying
k = -22

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