-5(-12+12k)+8(10k-2)=7k+2k

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Solution for -5(-12+12k)+8(10k-2)=7k+2k equation:


Simplifying
-5(-12 + 12k) + 8(10k + -2) = 7k + 2k
(-12 * -5 + 12k * -5) + 8(10k + -2) = 7k + 2k
(60 + -60k) + 8(10k + -2) = 7k + 2k

Reorder the terms:
60 + -60k + 8(-2 + 10k) = 7k + 2k
60 + -60k + (-2 * 8 + 10k * 8) = 7k + 2k
60 + -60k + (-16 + 80k) = 7k + 2k

Reorder the terms:
60 + -16 + -60k + 80k = 7k + 2k

Combine like terms: 60 + -16 = 44
44 + -60k + 80k = 7k + 2k

Combine like terms: -60k + 80k = 20k
44 + 20k = 7k + 2k

Combine like terms: 7k + 2k = 9k
44 + 20k = 9k

Solving
44 + 20k = 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
44 + 20k + -9k = 9k + -9k

Combine like terms: 20k + -9k = 11k
44 + 11k = 9k + -9k

Combine like terms: 9k + -9k = 0
44 + 11k = 0

Add '-44' to each side of the equation.
44 + -44 + 11k = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 11k = 0 + -44
11k = 0 + -44

Combine like terms: 0 + -44 = -44
11k = -44

Divide each side by '11'.
k = -4

Simplifying
k = -4

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