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Simplifying -3k + 15 = -2(-3 + 3k) Reorder the terms: 15 + -3k = -2(-3 + 3k) 15 + -3k = (-3 * -2 + 3k * -2) 15 + -3k = (6 + -6k) Solving 15 + -3k = 6 + -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 = 6 + -6k + 6k Combine like terms: -3k + 6k = 3k 15 + 3k = 6 + -6k + 6k Combine like terms: -6k + 6k = 0 15 + 3k = 6 + 0 15 + 3k = 6 Add '-15' to each side of the equation. 15 + -15 + 3k = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = 6 + -15 3k = 6 + -15 Combine like terms: 6 + -15 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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