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Simplifying -3(5 + -3m) = m + 9 (5 * -3 + -3m * -3) = m + 9 (-15 + 9m) = m + 9 Reorder the terms: -15 + 9m = 9 + m Solving -15 + 9m = 9 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -15 + 9m + -1m = 9 + m + -1m Combine like terms: 9m + -1m = 8m -15 + 8m = 9 + m + -1m Combine like terms: m + -1m = 0 -15 + 8m = 9 + 0 -15 + 8m = 9 Add '15' to each side of the equation. -15 + 15 + 8m = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 8m = 9 + 15 8m = 9 + 15 Combine like terms: 9 + 15 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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