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Simplifying -3(m + -6) = 15 + -6m Reorder the terms: -3(-6 + m) = 15 + -6m (-6 * -3 + m * -3) = 15 + -6m (18 + -3m) = 15 + -6m Solving 18 + -3m = 15 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 18 + -3m + 6m = 15 + -6m + 6m Combine like terms: -3m + 6m = 3m 18 + 3m = 15 + -6m + 6m Combine like terms: -6m + 6m = 0 18 + 3m = 15 + 0 18 + 3m = 15 Add '-18' to each side of the equation. 18 + -18 + 3m = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 3m = 15 + -18 3m = 15 + -18 Combine like terms: 15 + -18 = -3 3m = -3 Divide each side by '3'. m = -1 Simplifying m = -1
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