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Simplifying 54 = -2(1 + 4m) + -4(1 + 3m) 54 = (1 * -2 + 4m * -2) + -4(1 + 3m) 54 = (-2 + -8m) + -4(1 + 3m) 54 = -2 + -8m + (1 * -4 + 3m * -4) 54 = -2 + -8m + (-4 + -12m) Reorder the terms: 54 = -2 + -4 + -8m + -12m Combine like terms: -2 + -4 = -6 54 = -6 + -8m + -12m Combine like terms: -8m + -12m = -20m 54 = -6 + -20m Solving 54 = -6 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 54 + 20m = -6 + -20m + 20m Combine like terms: -20m + 20m = 0 54 + 20m = -6 + 0 54 + 20m = -6 Add '-54' to each side of the equation. 54 + -54 + 20m = -6 + -54 Combine like terms: 54 + -54 = 0 0 + 20m = -6 + -54 20m = -6 + -54 Combine like terms: -6 + -54 = -60 20m = -60 Divide each side by '20'. m = -3 Simplifying m = -3
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