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Simplifying 0.5(m + -12) + 2 = 1.25(m + 8) + -9.5 Reorder the terms: 0.5(-12 + m) + 2 = 1.25(m + 8) + -9.5 (-12 * 0.5 + m * 0.5) + 2 = 1.25(m + 8) + -9.5 (-6 + 0.5m) + 2 = 1.25(m + 8) + -9.5 Reorder the terms: -6 + 2 + 0.5m = 1.25(m + 8) + -9.5 Combine like terms: -6 + 2 = -4 -4 + 0.5m = 1.25(m + 8) + -9.5 Reorder the terms: -4 + 0.5m = 1.25(8 + m) + -9.5 -4 + 0.5m = (8 * 1.25 + m * 1.25) + -9.5 -4 + 0.5m = (10 + 1.25m) + -9.5 Reorder the terms: -4 + 0.5m = 10 + -9.5 + 1.25m Combine like terms: 10 + -9.5 = 0.5 -4 + 0.5m = 0.5 + 1.25m Solving -4 + 0.5m = 0.5 + 1.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.25m' to each side of the equation. -4 + 0.5m + -1.25m = 0.5 + 1.25m + -1.25m Combine like terms: 0.5m + -1.25m = -0.75m -4 + -0.75m = 0.5 + 1.25m + -1.25m Combine like terms: 1.25m + -1.25m = 0.00 -4 + -0.75m = 0.5 + 0.00 -4 + -0.75m = 0.5 Add '4' to each side of the equation. -4 + 4 + -0.75m = 0.5 + 4 Combine like terms: -4 + 4 = 0 0 + -0.75m = 0.5 + 4 -0.75m = 0.5 + 4 Combine like terms: 0.5 + 4 = 4.5 -0.75m = 4.5 Divide each side by '-0.75'. m = -6 Simplifying m = -6
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