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Simplifying 3(k + -5) = 2(6 + -3k) Reorder the terms: 3(-5 + k) = 2(6 + -3k) (-5 * 3 + k * 3) = 2(6 + -3k) (-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 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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