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Simplifying 5(m + -4) = 3(8 + -1m) Reorder the terms: 5(-4 + m) = 3(8 + -1m) (-4 * 5 + m * 5) = 3(8 + -1m) (-20 + 5m) = 3(8 + -1m) -20 + 5m = (8 * 3 + -1m * 3) -20 + 5m = (24 + -3m) Solving -20 + 5m = 24 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -20 + 5m + 3m = 24 + -3m + 3m Combine like terms: 5m + 3m = 8m -20 + 8m = 24 + -3m + 3m Combine like terms: -3m + 3m = 0 -20 + 8m = 24 + 0 -20 + 8m = 24 Add '20' to each side of the equation. -20 + 20 + 8m = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 8m = 24 + 20 8m = 24 + 20 Combine like terms: 24 + 20 = 44 8m = 44 Divide each side by '8'. m = 5.5 Simplifying m = 5.5
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