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Simplifying 0.4m + 0.8(4) = 0.5(m + 4) Multiply 0.8 * 4 0.4m + 3.2 = 0.5(m + 4) Reorder the terms: 3.2 + 0.4m = 0.5(m + 4) Reorder the terms: 3.2 + 0.4m = 0.5(4 + m) 3.2 + 0.4m = (4 * 0.5 + m * 0.5) 3.2 + 0.4m = (2 + 0.5m) Solving 3.2 + 0.4m = 2 + 0.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.5m' to each side of the equation. 3.2 + 0.4m + -0.5m = 2 + 0.5m + -0.5m Combine like terms: 0.4m + -0.5m = -0.1m 3.2 + -0.1m = 2 + 0.5m + -0.5m Combine like terms: 0.5m + -0.5m = 0.0 3.2 + -0.1m = 2 + 0.0 3.2 + -0.1m = 2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.1m = 2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.1m = 2 + -3.2 -0.1m = 2 + -3.2 Combine like terms: 2 + -3.2 = -1.2 -0.1m = -1.2 Divide each side by '-0.1'. m = 12 Simplifying m = 12
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