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Simplifying 12(1 + -6k) = -10(6k + 12) (1 * 12 + -6k * 12) = -10(6k + 12) (12 + -72k) = -10(6k + 12) Reorder the terms: 12 + -72k = -10(12 + 6k) 12 + -72k = (12 * -10 + 6k * -10) 12 + -72k = (-120 + -60k) Solving 12 + -72k = -120 + -60k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '60k' to each side of the equation. 12 + -72k + 60k = -120 + -60k + 60k Combine like terms: -72k + 60k = -12k 12 + -12k = -120 + -60k + 60k Combine like terms: -60k + 60k = 0 12 + -12k = -120 + 0 12 + -12k = -120 Add '-12' to each side of the equation. 12 + -12 + -12k = -120 + -12 Combine like terms: 12 + -12 = 0 0 + -12k = -120 + -12 -12k = -120 + -12 Combine like terms: -120 + -12 = -132 -12k = -132 Divide each side by '-12'. k = 11 Simplifying k = 11
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