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Simplifying 0.4(m + -32) = 0.8m Reorder the terms: 0.4(-32 + m) = 0.8m (-32 * 0.4 + m * 0.4) = 0.8m (-12.8 + 0.4m) = 0.8m Solving -12.8 + 0.4m = 0.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.8m' to each side of the equation. -12.8 + 0.4m + -0.8m = 0.8m + -0.8m Combine like terms: 0.4m + -0.8m = -0.4m -12.8 + -0.4m = 0.8m + -0.8m Combine like terms: 0.8m + -0.8m = 0.0 -12.8 + -0.4m = 0.0 Add '12.8' to each side of the equation. -12.8 + 12.8 + -0.4m = 0.0 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + -0.4m = 0.0 + 12.8 -0.4m = 0.0 + 12.8 Combine like terms: 0.0 + 12.8 = 12.8 -0.4m = 12.8 Divide each side by '-0.4'. m = -32 Simplifying m = -32
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