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Simplifying 12(-11k + 10) = -12(1 + 12k) Reorder the terms: 12(10 + -11k) = -12(1 + 12k) (10 * 12 + -11k * 12) = -12(1 + 12k) (120 + -132k) = -12(1 + 12k) 120 + -132k = (1 * -12 + 12k * -12) 120 + -132k = (-12 + -144k) Solving 120 + -132k = -12 + -144k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '144k' to each side of the equation. 120 + -132k + 144k = -12 + -144k + 144k Combine like terms: -132k + 144k = 12k 120 + 12k = -12 + -144k + 144k Combine like terms: -144k + 144k = 0 120 + 12k = -12 + 0 120 + 12k = -12 Add '-120' to each side of the equation. 120 + -120 + 12k = -12 + -120 Combine like terms: 120 + -120 = 0 0 + 12k = -12 + -120 12k = -12 + -120 Combine like terms: -12 + -120 = -132 12k = -132 Divide each side by '12'. k = -11 Simplifying k = -11
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