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Simplifying 2.5(m + 2) = 2(m + 2) Reorder the terms: 2.5(2 + m) = 2(m + 2) (2 * 2.5 + m * 2.5) = 2(m + 2) (5 + 2.5m) = 2(m + 2) Reorder the terms: 5 + 2.5m = 2(2 + m) 5 + 2.5m = (2 * 2 + m * 2) 5 + 2.5m = (4 + 2m) Solving 5 + 2.5m = 4 + 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. 5 + 2.5m + -2m = 4 + 2m + -2m Combine like terms: 2.5m + -2m = 0.5m 5 + 0.5m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + 0.5m = 4 + 0 5 + 0.5m = 4 Add '-5' to each side of the equation. 5 + -5 + 0.5m = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5m = 4 + -5 0.5m = 4 + -5 Combine like terms: 4 + -5 = -1 0.5m = -1 Divide each side by '0.5'. m = -2 Simplifying m = -2
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