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Simplifying 0.5(4m + 6) = 9m + 7 Reorder the terms: 0.5(6 + 4m) = 9m + 7 (6 * 0.5 + 4m * 0.5) = 9m + 7 (3 + 2m) = 9m + 7 Reorder the terms: 3 + 2m = 7 + 9m Solving 3 + 2m = 7 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 3 + 2m + -9m = 7 + 9m + -9m Combine like terms: 2m + -9m = -7m 3 + -7m = 7 + 9m + -9m Combine like terms: 9m + -9m = 0 3 + -7m = 7 + 0 3 + -7m = 7 Add '-3' to each side of the equation. 3 + -3 + -7m = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -7m = 7 + -3 -7m = 7 + -3 Combine like terms: 7 + -3 = 4 -7m = 4 Divide each side by '-7'. m = -0.5714285714 Simplifying m = -0.5714285714
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