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Simplifying 3(k + 5) = -2(3k + -6) Reorder the terms: 3(5 + k) = -2(3k + -6) (5 * 3 + k * 3) = -2(3k + -6) (15 + 3k) = -2(3k + -6) Reorder the terms: 15 + 3k = -2(-6 + 3k) 15 + 3k = (-6 * -2 + 3k * -2) 15 + 3k = (12 + -6k) Solving 15 + 3k = 12 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 15 + 3k + 6k = 12 + -6k + 6k Combine like terms: 3k + 6k = 9k 15 + 9k = 12 + -6k + 6k Combine like terms: -6k + 6k = 0 15 + 9k = 12 + 0 15 + 9k = 12 Add '-15' to each side of the equation. 15 + -15 + 9k = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 9k = 12 + -15 9k = 12 + -15 Combine like terms: 12 + -15 = -3 9k = -3 Divide each side by '9'. k = -0.3333333333 Simplifying k = -0.3333333333
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