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Simplifying 2(m + 2.5) = 4(m + -0.5) Reorder the terms: 2(2.5 + m) = 4(m + -0.5) (2.5 * 2 + m * 2) = 4(m + -0.5) (5 + 2m) = 4(m + -0.5) Reorder the terms: 5 + 2m = 4(-0.5 + m) 5 + 2m = (-0.5 * 4 + m * 4) 5 + 2m = (-2 + 4m) Solving 5 + 2m = -2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5 + 2m + -4m = -2 + 4m + -4m Combine like terms: 2m + -4m = -2m 5 + -2m = -2 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + -2m = -2 + 0 5 + -2m = -2 Add '-5' to each side of the equation. 5 + -5 + -2m = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = -2 + -5 -2m = -2 + -5 Combine like terms: -2 + -5 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5
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