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Simplifying 11 + -0.5(m + -4) = 0.4(9m + -4) Reorder the terms: 11 + -0.5(-4 + m) = 0.4(9m + -4) 11 + (-4 * -0.5 + m * -0.5) = 0.4(9m + -4) 11 + (2 + -0.5m) = 0.4(9m + -4) Combine like terms: 11 + 2 = 13 13 + -0.5m = 0.4(9m + -4) Reorder the terms: 13 + -0.5m = 0.4(-4 + 9m) 13 + -0.5m = (-4 * 0.4 + 9m * 0.4) 13 + -0.5m = (-1.6 + 3.6m) Solving 13 + -0.5m = -1.6 + 3.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.6m' to each side of the equation. 13 + -0.5m + -3.6m = -1.6 + 3.6m + -3.6m Combine like terms: -0.5m + -3.6m = -4.1m 13 + -4.1m = -1.6 + 3.6m + -3.6m Combine like terms: 3.6m + -3.6m = 0.0 13 + -4.1m = -1.6 + 0.0 13 + -4.1m = -1.6 Add '-13' to each side of the equation. 13 + -13 + -4.1m = -1.6 + -13 Combine like terms: 13 + -13 = 0 0 + -4.1m = -1.6 + -13 -4.1m = -1.6 + -13 Combine like terms: -1.6 + -13 = -14.6 -4.1m = -14.6 Divide each side by '-4.1'. m = 3.56097561 Simplifying m = 3.56097561
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