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Simplifying 0.75(12m + 8) = 0.66(6m + 9) Reorder the terms: 0.75(8 + 12m) = 0.66(6m + 9) (8 * 0.75 + 12m * 0.75) = 0.66(6m + 9) (6 + 9m) = 0.66(6m + 9) Reorder the terms: 6 + 9m = 0.66(9 + 6m) 6 + 9m = (9 * 0.66 + 6m * 0.66) 6 + 9m = (5.94 + 3.96m) Solving 6 + 9m = 5.94 + 3.96m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.96m' to each side of the equation. 6 + 9m + -3.96m = 5.94 + 3.96m + -3.96m Combine like terms: 9m + -3.96m = 5.04m 6 + 5.04m = 5.94 + 3.96m + -3.96m Combine like terms: 3.96m + -3.96m = 0.00 6 + 5.04m = 5.94 + 0.00 6 + 5.04m = 5.94 Add '-6' to each side of the equation. 6 + -6 + 5.04m = 5.94 + -6 Combine like terms: 6 + -6 = 0 0 + 5.04m = 5.94 + -6 5.04m = 5.94 + -6 Combine like terms: 5.94 + -6 = -0.06 5.04m = -0.06 Divide each side by '5.04'. m = -0.0119047619 Simplifying m = -0.0119047619
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