-3(k-4)-(8+7k)=-11k

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Solution for -3(k-4)-(8+7k)=-11k equation: 


Simplifying
-3(k + -4) + -1(8 + 7k) = -11k

Reorder the terms:
-3(-4 + k) + -1(8 + 7k) = -11k
(-4 * -3 + k * -3) + -1(8 + 7k) = -11k
(12 + -3k) + -1(8 + 7k) = -11k
12 + -3k + (8 * -1 + 7k * -1) = -11k
12 + -3k + (-8 + -7k) = -11k

Reorder the terms:
12 + -8 + -3k + -7k = -11k

Combine like terms: 12 + -8 = 4
4 + -3k + -7k = -11k

Combine like terms: -3k + -7k = -10k
4 + -10k = -11k

Solving
4 + -10k = -11k

Solving for variable 'k'.

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

Add '11k' to each side of the equation.
4 + -10k + 11k = -11k + 11k

Combine like terms: -10k + 11k = 1k
4 + 1k = -11k + 11k

Combine like terms: -11k + 11k = 0
4 + 1k = 0

Add '-4' to each side of the equation.
4 + -4 + 1k = 0 + -4

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

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

Divide each side by '1'.
k = -4

Simplifying
k = -4

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