12(2k+11)-14k=5(-2k-12)-8

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Solution for 12(2k+11)-14k=5(-2k-12)-8 equation:


Simplifying
12(2k + 11) + -14k = 5(-2k + -12) + -8

Reorder the terms:
12(11 + 2k) + -14k = 5(-2k + -12) + -8
(11 * 12 + 2k * 12) + -14k = 5(-2k + -12) + -8
(132 + 24k) + -14k = 5(-2k + -12) + -8

Combine like terms: 24k + -14k = 10k
132 + 10k = 5(-2k + -12) + -8

Reorder the terms:
132 + 10k = 5(-12 + -2k) + -8
132 + 10k = (-12 * 5 + -2k * 5) + -8
132 + 10k = (-60 + -10k) + -8

Reorder the terms:
132 + 10k = -60 + -8 + -10k

Combine like terms: -60 + -8 = -68
132 + 10k = -68 + -10k

Solving
132 + 10k = -68 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
132 + 10k + 10k = -68 + -10k + 10k

Combine like terms: 10k + 10k = 20k
132 + 20k = -68 + -10k + 10k

Combine like terms: -10k + 10k = 0
132 + 20k = -68 + 0
132 + 20k = -68

Add '-132' to each side of the equation.
132 + -132 + 20k = -68 + -132

Combine like terms: 132 + -132 = 0
0 + 20k = -68 + -132
20k = -68 + -132

Combine like terms: -68 + -132 = -200
20k = -200

Divide each side by '20'.
k = -10

Simplifying
k = -10

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