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Simplifying -9(6m + -3) = 6(1 + 4m) Reorder the terms: -9(-3 + 6m) = 6(1 + 4m) (-3 * -9 + 6m * -9) = 6(1 + 4m) (27 + -54m) = 6(1 + 4m) 27 + -54m = (1 * 6 + 4m * 6) 27 + -54m = (6 + 24m) Solving 27 + -54m = 6 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 27 + -54m + -24m = 6 + 24m + -24m Combine like terms: -54m + -24m = -78m 27 + -78m = 6 + 24m + -24m Combine like terms: 24m + -24m = 0 27 + -78m = 6 + 0 27 + -78m = 6 Add '-27' to each side of the equation. 27 + -27 + -78m = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -78m = 6 + -27 -78m = 6 + -27 Combine like terms: 6 + -27 = -21 -78m = -21 Divide each side by '-78'. m = 0.2692307692 Simplifying m = 0.2692307692
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