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Simplifying -10(9 + 12k) + 9 = -3 + 11(6 + -12k) (9 * -10 + 12k * -10) + 9 = -3 + 11(6 + -12k) (-90 + -120k) + 9 = -3 + 11(6 + -12k) Reorder the terms: -90 + 9 + -120k = -3 + 11(6 + -12k) Combine like terms: -90 + 9 = -81 -81 + -120k = -3 + 11(6 + -12k) -81 + -120k = -3 + (6 * 11 + -12k * 11) -81 + -120k = -3 + (66 + -132k) Combine like terms: -3 + 66 = 63 -81 + -120k = 63 + -132k Solving -81 + -120k = 63 + -132k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '132k' to each side of the equation. -81 + -120k + 132k = 63 + -132k + 132k Combine like terms: -120k + 132k = 12k -81 + 12k = 63 + -132k + 132k Combine like terms: -132k + 132k = 0 -81 + 12k = 63 + 0 -81 + 12k = 63 Add '81' to each side of the equation. -81 + 81 + 12k = 63 + 81 Combine like terms: -81 + 81 = 0 0 + 12k = 63 + 81 12k = 63 + 81 Combine like terms: 63 + 81 = 144 12k = 144 Divide each side by '12'. k = 12 Simplifying k = 12
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