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Simplifying -3(6k + -6) = 5(k + -1) Reorder the terms: -3(-6 + 6k) = 5(k + -1) (-6 * -3 + 6k * -3) = 5(k + -1) (18 + -18k) = 5(k + -1) Reorder the terms: 18 + -18k = 5(-1 + k) 18 + -18k = (-1 * 5 + k * 5) 18 + -18k = (-5 + 5k) Solving 18 + -18k = -5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 18 + -18k + -5k = -5 + 5k + -5k Combine like terms: -18k + -5k = -23k 18 + -23k = -5 + 5k + -5k Combine like terms: 5k + -5k = 0 18 + -23k = -5 + 0 18 + -23k = -5 Add '-18' to each side of the equation. 18 + -18 + -23k = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -23k = -5 + -18 -23k = -5 + -18 Combine like terms: -5 + -18 = -23 -23k = -23 Divide each side by '-23'. k = 1 Simplifying k = 1
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