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Simplifying 0.4(m + -48) = 1.2m Reorder the terms: 0.4(-48 + m) = 1.2m (-48 * 0.4 + m * 0.4) = 1.2m (-19.2 + 0.4m) = 1.2m Solving -19.2 + 0.4m = 1.2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.2m' to each side of the equation. -19.2 + 0.4m + -1.2m = 1.2m + -1.2m Combine like terms: 0.4m + -1.2m = -0.8m -19.2 + -0.8m = 1.2m + -1.2m Combine like terms: 1.2m + -1.2m = 0.0 -19.2 + -0.8m = 0.0 Add '19.2' to each side of the equation. -19.2 + 19.2 + -0.8m = 0.0 + 19.2 Combine like terms: -19.2 + 19.2 = 0.0 0.0 + -0.8m = 0.0 + 19.2 -0.8m = 0.0 + 19.2 Combine like terms: 0.0 + 19.2 = 19.2 -0.8m = 19.2 Divide each side by '-0.8'. m = -24 Simplifying m = -24
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