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Simplifying 39 = 0.75(m + -12) + 9(m + -12) Reorder the terms: 39 = 0.75(-12 + m) + 9(m + -12) 39 = (-12 * 0.75 + m * 0.75) + 9(m + -12) 39 = (-9 + 0.75m) + 9(m + -12) Reorder the terms: 39 = -9 + 0.75m + 9(-12 + m) 39 = -9 + 0.75m + (-12 * 9 + m * 9) 39 = -9 + 0.75m + (-108 + 9m) Reorder the terms: 39 = -9 + -108 + 0.75m + 9m Combine like terms: -9 + -108 = -117 39 = -117 + 0.75m + 9m Combine like terms: 0.75m + 9m = 9.75m 39 = -117 + 9.75m Solving 39 = -117 + 9.75m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9.75m' to each side of the equation. 39 + -9.75m = -117 + 9.75m + -9.75m Combine like terms: 9.75m + -9.75m = 0.00 39 + -9.75m = -117 + 0.00 39 + -9.75m = -117 Add '-39' to each side of the equation. 39 + -39 + -9.75m = -117 + -39 Combine like terms: 39 + -39 = 0 0 + -9.75m = -117 + -39 -9.75m = -117 + -39 Combine like terms: -117 + -39 = -156 -9.75m = -156 Divide each side by '-9.75'. m = 16 Simplifying m = 16
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