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Simplifying -3(m + 5) = 9 + -6m Reorder the terms: -3(5 + m) = 9 + -6m (5 * -3 + m * -3) = 9 + -6m (-15 + -3m) = 9 + -6m Solving -15 + -3m = 9 + -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. -15 + -3m + 6m = 9 + -6m + 6m Combine like terms: -3m + 6m = 3m -15 + 3m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 -15 + 3m = 9 + 0 -15 + 3m = 9 Add '15' to each side of the equation. -15 + 15 + 3m = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 3m = 9 + 15 3m = 9 + 15 Combine like terms: 9 + 15 = 24 3m = 24 Divide each side by '3'. m = 8 Simplifying m = 8
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