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

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


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

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

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

Combine like terms: -7 + 7 = 0
0 + -21k + -21k = -8k + 7k
-21k + -21k = -8k + 7k

Combine like terms: -21k + -21k = -42k
-42k = -8k + 7k

Combine like terms: -8k + 7k = -1k
-42k = -1k

Solving
-42k = -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-42k + k = -1k + k

Combine like terms: -42k + k = -41k
-41k = -1k + k

Combine like terms: -1k + k = 0
-41k = 0

Divide each side by '-41'.
k = 0

Simplifying
k = 0

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