2(k-6)-7(12+2k)=7k-11k

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Solution for 2(k-6)-7(12+2k)=7k-11k equation:


Simplifying
2(k + -6) + -7(12 + 2k) = 7k + -11k

Reorder the terms:
2(-6 + k) + -7(12 + 2k) = 7k + -11k
(-6 * 2 + k * 2) + -7(12 + 2k) = 7k + -11k
(-12 + 2k) + -7(12 + 2k) = 7k + -11k
-12 + 2k + (12 * -7 + 2k * -7) = 7k + -11k
-12 + 2k + (-84 + -14k) = 7k + -11k

Reorder the terms:
-12 + -84 + 2k + -14k = 7k + -11k

Combine like terms: -12 + -84 = -96
-96 + 2k + -14k = 7k + -11k

Combine like terms: 2k + -14k = -12k
-96 + -12k = 7k + -11k

Combine like terms: 7k + -11k = -4k
-96 + -12k = -4k

Solving
-96 + -12k = -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
-96 + -12k + 4k = -4k + 4k

Combine like terms: -12k + 4k = -8k
-96 + -8k = -4k + 4k

Combine like terms: -4k + 4k = 0
-96 + -8k = 0

Add '96' to each side of the equation.
-96 + 96 + -8k = 0 + 96

Combine like terms: -96 + 96 = 0
0 + -8k = 0 + 96
-8k = 0 + 96

Combine like terms: 0 + 96 = 96
-8k = 96

Divide each side by '-8'.
k = -12

Simplifying
k = -12

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