-(k+5)-7(k+5)=-8

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Solution for -(k+5)-7(k+5)=-8 equation: 


Simplifying
-1(k + 5) + -7(k + 5) = -8

Reorder the terms:
-1(5 + k) + -7(k + 5) = -8
(5 * -1 + k * -1) + -7(k + 5) = -8
(-5 + -1k) + -7(k + 5) = -8

Reorder the terms:
-5 + -1k + -7(5 + k) = -8
-5 + -1k + (5 * -7 + k * -7) = -8
-5 + -1k + (-35 + -7k) = -8

Reorder the terms:
-5 + -35 + -1k + -7k = -8

Combine like terms: -5 + -35 = -40
-40 + -1k + -7k = -8

Combine like terms: -1k + -7k = -8k
-40 + -8k = -8

Solving
-40 + -8k = -8

Solving for variable 'k'.

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

Add '40' to each side of the equation.
-40 + 40 + -8k = -8 + 40

Combine like terms: -40 + 40 = 0
0 + -8k = -8 + 40
-8k = -8 + 40

Combine like terms: -8 + 40 = 32
-8k = 32

Divide each side by '-8'.
k = -4

Simplifying
k = -4

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