-7(k-4)-(-8k+7)=-8

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Solution for -7(k-4)-(-8k+7)=-8 equation: 


Simplifying
-7(k + -4) + -1(-8k + 7) = -8

Reorder the terms:
-7(-4 + k) + -1(-8k + 7) = -8
(-4 * -7 + k * -7) + -1(-8k + 7) = -8
(28 + -7k) + -1(-8k + 7) = -8

Reorder the terms:
28 + -7k + -1(7 + -8k) = -8
28 + -7k + (7 * -1 + -8k * -1) = -8
28 + -7k + (-7 + 8k) = -8

Reorder the terms:
28 + -7 + -7k + 8k = -8

Combine like terms: 28 + -7 = 21
21 + -7k + 8k = -8

Combine like terms: -7k + 8k = 1k
21 + 1k = -8

Solving
21 + 1k = -8

Solving for variable 'k'.

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

Add '-21' to each side of the equation.
21 + -21 + 1k = -8 + -21

Combine like terms: 21 + -21 = 0
0 + 1k = -8 + -21
1k = -8 + -21

Combine like terms: -8 + -21 = -29
1k = -29

Divide each side by '1'.
k = -29

Simplifying
k = -29

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