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Simplifying 2(m + -0.3) + -3(m + -1.3) = 4(3m + 3.1) Reorder the terms: 2(-0.3 + m) + -3(m + -1.3) = 4(3m + 3.1) (-0.3 * 2 + m * 2) + -3(m + -1.3) = 4(3m + 3.1) (-0.6 + 2m) + -3(m + -1.3) = 4(3m + 3.1) Reorder the terms: -0.6 + 2m + -3(-1.3 + m) = 4(3m + 3.1) -0.6 + 2m + (-1.3 * -3 + m * -3) = 4(3m + 3.1) -0.6 + 2m + (3.9 + -3m) = 4(3m + 3.1) Reorder the terms: -0.6 + 3.9 + 2m + -3m = 4(3m + 3.1) Combine like terms: -0.6 + 3.9 = 3.3 3.3 + 2m + -3m = 4(3m + 3.1) Combine like terms: 2m + -3m = -1m 3.3 + -1m = 4(3m + 3.1) Reorder the terms: 3.3 + -1m = 4(3.1 + 3m) 3.3 + -1m = (3.1 * 4 + 3m * 4) 3.3 + -1m = (12.4 + 12m) Solving 3.3 + -1m = 12.4 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 3.3 + -1m + -12m = 12.4 + 12m + -12m Combine like terms: -1m + -12m = -13m 3.3 + -13m = 12.4 + 12m + -12m Combine like terms: 12m + -12m = 0 3.3 + -13m = 12.4 + 0 3.3 + -13m = 12.4 Add '-3.3' to each side of the equation. 3.3 + -3.3 + -13m = 12.4 + -3.3 Combine like terms: 3.3 + -3.3 = 0.0 0.0 + -13m = 12.4 + -3.3 -13m = 12.4 + -3.3 Combine like terms: 12.4 + -3.3 = 9.1 -13m = 9.1 Divide each side by '-13'. m = -0.7 Simplifying m = -0.7
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