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Simplifying 6(m + 1.3) = 3(m + -0.2) + -3(m + -3.2) Reorder the terms: 6(1.3 + m) = 3(m + -0.2) + -3(m + -3.2) (1.3 * 6 + m * 6) = 3(m + -0.2) + -3(m + -3.2) (7.8 + 6m) = 3(m + -0.2) + -3(m + -3.2) Reorder the terms: 7.8 + 6m = 3(-0.2 + m) + -3(m + -3.2) 7.8 + 6m = (-0.2 * 3 + m * 3) + -3(m + -3.2) 7.8 + 6m = (-0.6 + 3m) + -3(m + -3.2) Reorder the terms: 7.8 + 6m = -0.6 + 3m + -3(-3.2 + m) 7.8 + 6m = -0.6 + 3m + (-3.2 * -3 + m * -3) 7.8 + 6m = -0.6 + 3m + (9.6 + -3m) Reorder the terms: 7.8 + 6m = -0.6 + 9.6 + 3m + -3m Combine like terms: -0.6 + 9.6 = 9 7.8 + 6m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 7.8 + 6m = 9 + 0 7.8 + 6m = 9 Solving 7.8 + 6m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7.8' to each side of the equation. 7.8 + -7.8 + 6m = 9 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 6m = 9 + -7.8 6m = 9 + -7.8 Combine like terms: 9 + -7.8 = 1.2 6m = 1.2 Divide each side by '6'. m = 0.2 Simplifying m = 0.2
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