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Simplifying -2(k + 1) = 10(-12k + -12) Reorder the terms: -2(1 + k) = 10(-12k + -12) (1 * -2 + k * -2) = 10(-12k + -12) (-2 + -2k) = 10(-12k + -12) Reorder the terms: -2 + -2k = 10(-12 + -12k) -2 + -2k = (-12 * 10 + -12k * 10) -2 + -2k = (-120 + -120k) Solving -2 + -2k = -120 + -120k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '120k' to each side of the equation. -2 + -2k + 120k = -120 + -120k + 120k Combine like terms: -2k + 120k = 118k -2 + 118k = -120 + -120k + 120k Combine like terms: -120k + 120k = 0 -2 + 118k = -120 + 0 -2 + 118k = -120 Add '2' to each side of the equation. -2 + 2 + 118k = -120 + 2 Combine like terms: -2 + 2 = 0 0 + 118k = -120 + 2 118k = -120 + 2 Combine like terms: -120 + 2 = -118 118k = -118 Divide each side by '118'. k = -1 Simplifying k = -1
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