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Simplifying -3(k + 5) = 12k Reorder the terms: -3(5 + k) = 12k (5 * -3 + k * -3) = 12k (-15 + -3k) = 12k Solving -15 + -3k = 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 + -3k + -12k = 12k + -12k Combine like terms: -3k + -12k = -15k -15 + -15k = 12k + -12k Combine like terms: 12k + -12k = 0 -15 + -15k = 0 Add '15' to each side of the equation. -15 + 15 + -15k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -15k = 0 + 15 -15k = 0 + 15 Combine like terms: 0 + 15 = 15 -15k = 15 Divide each side by '-15'. k = -1 Simplifying k = -1
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