15-(6-7k)=-2(-3-3k)-4

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Solution for 15-(6-7k)=-2(-3-3k)-4 equation:


Simplifying
15 + -1(6 + -7k) = -2(-3 + -3k) + -4
15 + (6 * -1 + -7k * -1) = -2(-3 + -3k) + -4
15 + (-6 + 7k) = -2(-3 + -3k) + -4

Combine like terms: 15 + -6 = 9
9 + 7k = -2(-3 + -3k) + -4
9 + 7k = (-3 * -2 + -3k * -2) + -4
9 + 7k = (6 + 6k) + -4

Reorder the terms:
9 + 7k = 6 + -4 + 6k

Combine like terms: 6 + -4 = 2
9 + 7k = 2 + 6k

Solving
9 + 7k = 2 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
9 + 7k + -6k = 2 + 6k + -6k

Combine like terms: 7k + -6k = 1k
9 + 1k = 2 + 6k + -6k

Combine like terms: 6k + -6k = 0
9 + 1k = 2 + 0
9 + 1k = 2

Add '-9' to each side of the equation.
9 + -9 + 1k = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 1k = 2 + -9
1k = 2 + -9

Combine like terms: 2 + -9 = -7
1k = -7

Divide each side by '1'.
k = -7

Simplifying
k = -7

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