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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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