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Simplifying -6(3 + -6k) = -9(-5k + -5) (3 * -6 + -6k * -6) = -9(-5k + -5) (-18 + 36k) = -9(-5k + -5) Reorder the terms: -18 + 36k = -9(-5 + -5k) -18 + 36k = (-5 * -9 + -5k * -9) -18 + 36k = (45 + 45k) Solving -18 + 36k = 45 + 45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45k' to each side of the equation. -18 + 36k + -45k = 45 + 45k + -45k Combine like terms: 36k + -45k = -9k -18 + -9k = 45 + 45k + -45k Combine like terms: 45k + -45k = 0 -18 + -9k = 45 + 0 -18 + -9k = 45 Add '18' to each side of the equation. -18 + 18 + -9k = 45 + 18 Combine like terms: -18 + 18 = 0 0 + -9k = 45 + 18 -9k = 45 + 18 Combine like terms: 45 + 18 = 63 -9k = 63 Divide each side by '-9'. k = -7 Simplifying k = -7
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