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Simplifying -3(5k + -2) = 15 + -6k Reorder the terms: -3(-2 + 5k) = 15 + -6k (-2 * -3 + 5k * -3) = 15 + -6k (6 + -15k) = 15 + -6k Solving 6 + -15k = 15 + -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. 6 + -15k + 6k = 15 + -6k + 6k Combine like terms: -15k + 6k = -9k 6 + -9k = 15 + -6k + 6k Combine like terms: -6k + 6k = 0 6 + -9k = 15 + 0 6 + -9k = 15 Add '-6' to each side of the equation. 6 + -6 + -9k = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9k = 15 + -6 -9k = 15 + -6 Combine like terms: 15 + -6 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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