-5(k+6)-(7k-7)=-13k

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Solution for -5(k+6)-(7k-7)=-13k equation:


Simplifying
-5(k + 6) + -1(7k + -7) = -13k

Reorder the terms:
-5(6 + k) + -1(7k + -7) = -13k
(6 * -5 + k * -5) + -1(7k + -7) = -13k
(-30 + -5k) + -1(7k + -7) = -13k

Reorder the terms:
-30 + -5k + -1(-7 + 7k) = -13k
-30 + -5k + (-7 * -1 + 7k * -1) = -13k
-30 + -5k + (7 + -7k) = -13k

Reorder the terms:
-30 + 7 + -5k + -7k = -13k

Combine like terms: -30 + 7 = -23
-23 + -5k + -7k = -13k

Combine like terms: -5k + -7k = -12k
-23 + -12k = -13k

Solving
-23 + -12k = -13k

Solving for variable 'k'.

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

Add '13k' to each side of the equation.
-23 + -12k + 13k = -13k + 13k

Combine like terms: -12k + 13k = 1k
-23 + 1k = -13k + 13k

Combine like terms: -13k + 13k = 0
-23 + 1k = 0

Add '23' to each side of the equation.
-23 + 23 + 1k = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 1k = 0 + 23
1k = 0 + 23

Combine like terms: 0 + 23 = 23
1k = 23

Divide each side by '1'.
k = 23

Simplifying
k = 23

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