-7(k+3)-(-8k+1)=-8

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Solution for -7(k+3)-(-8k+1)=-8 equation: 


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

Reorder the terms:
-7(3 + k) + -1(-8k + 1) = -8
(3 * -7 + k * -7) + -1(-8k + 1) = -8
(-21 + -7k) + -1(-8k + 1) = -8

Reorder the terms:
-21 + -7k + -1(1 + -8k) = -8
-21 + -7k + (1 * -1 + -8k * -1) = -8
-21 + -7k + (-1 + 8k) = -8

Reorder the terms:
-21 + -1 + -7k + 8k = -8

Combine like terms: -21 + -1 = -22
-22 + -7k + 8k = -8

Combine like terms: -7k + 8k = 1k
-22 + 1k = -8

Solving
-22 + 1k = -8

Solving for variable 'k'.

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

Add '22' to each side of the equation.
-22 + 22 + 1k = -8 + 22

Combine like terms: -22 + 22 = 0
0 + 1k = -8 + 22
1k = -8 + 22

Combine like terms: -8 + 22 = 14
1k = 14

Divide each side by '1'.
k = 14

Simplifying
k = 14

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