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Simplifying 5(m + -3) = 2m + 9 Reorder the terms: 5(-3 + m) = 2m + 9 (-3 * 5 + m * 5) = 2m + 9 (-15 + 5m) = 2m + 9 Reorder the terms: -15 + 5m = 9 + 2m Solving -15 + 5m = 9 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -15 + 5m + -2m = 9 + 2m + -2m Combine like terms: 5m + -2m = 3m -15 + 3m = 9 + 2m + -2m Combine like terms: 2m + -2m = 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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