7(k+2)-(6k-6)=-4

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Solution for 7(k+2)-(6k-6)=-4 equation: 


Simplifying
7(k + 2) + -1(6k + -6) = -4

Reorder the terms:
7(2 + k) + -1(6k + -6) = -4
(2 * 7 + k * 7) + -1(6k + -6) = -4
(14 + 7k) + -1(6k + -6) = -4

Reorder the terms:
14 + 7k + -1(-6 + 6k) = -4
14 + 7k + (-6 * -1 + 6k * -1) = -4
14 + 7k + (6 + -6k) = -4

Reorder the terms:
14 + 6 + 7k + -6k = -4

Combine like terms: 14 + 6 = 20
20 + 7k + -6k = -4

Combine like terms: 7k + -6k = 1k
20 + 1k = -4

Solving
20 + 1k = -4

Solving for variable 'k'.

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

Add '-20' to each side of the equation.
20 + -20 + 1k = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 1k = -4 + -20
1k = -4 + -20

Combine like terms: -4 + -20 = -24
1k = -24

Divide each side by '1'.
k = -24

Simplifying
k = -24

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