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Simplifying -3(5k + 5) = 54 + -12k Reorder the terms: -3(5 + 5k) = 54 + -12k (5 * -3 + 5k * -3) = 54 + -12k (-15 + -15k) = 54 + -12k Solving -15 + -15k = 54 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -15 + -15k + 12k = 54 + -12k + 12k Combine like terms: -15k + 12k = -3k -15 + -3k = 54 + -12k + 12k Combine like terms: -12k + 12k = 0 -15 + -3k = 54 + 0 -15 + -3k = 54 Add '15' to each side of the equation. -15 + 15 + -3k = 54 + 15 Combine like terms: -15 + 15 = 0 0 + -3k = 54 + 15 -3k = 54 + 15 Combine like terms: 54 + 15 = 69 -3k = 69 Divide each side by '-3'. k = -23 Simplifying k = -23
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