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Simplifying 0.4(3m + 3) = 0.3(2m + -6) Reorder the terms: 0.4(3 + 3m) = 0.3(2m + -6) (3 * 0.4 + 3m * 0.4) = 0.3(2m + -6) (1.2 + 1.2m) = 0.3(2m + -6) Reorder the terms: 1.2 + 1.2m = 0.3(-6 + 2m) 1.2 + 1.2m = (-6 * 0.3 + 2m * 0.3) 1.2 + 1.2m = (-1.8 + 0.6m) Solving 1.2 + 1.2m = -1.8 + 0.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.6m' to each side of the equation. 1.2 + 1.2m + -0.6m = -1.8 + 0.6m + -0.6m Combine like terms: 1.2m + -0.6m = 0.6m 1.2 + 0.6m = -1.8 + 0.6m + -0.6m Combine like terms: 0.6m + -0.6m = 0.0 1.2 + 0.6m = -1.8 + 0.0 1.2 + 0.6m = -1.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.6m = -1.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.6m = -1.8 + -1.2 0.6m = -1.8 + -1.2 Combine like terms: -1.8 + -1.2 = -3 0.6m = -3 Divide each side by '0.6'. m = -5 Simplifying m = -5
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