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Simplifying -3(5k + -6) = -3k + -39 Reorder the terms: -3(-6 + 5k) = -3k + -39 (-6 * -3 + 5k * -3) = -3k + -39 (18 + -15k) = -3k + -39 Reorder the terms: 18 + -15k = -39 + -3k Solving 18 + -15k = -39 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 18 + -15k + 3k = -39 + -3k + 3k Combine like terms: -15k + 3k = -12k 18 + -12k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 18 + -12k = -39 + 0 18 + -12k = -39 Add '-18' to each side of the equation. 18 + -18 + -12k = -39 + -18 Combine like terms: 18 + -18 = 0 0 + -12k = -39 + -18 -12k = -39 + -18 Combine like terms: -39 + -18 = -57 -12k = -57 Divide each side by '-12'. k = 4.75 Simplifying k = 4.75
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