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Simplifying -6m + -20 = 2n + 4(1 + -3m) Reorder the terms: -20 + -6m = 2n + 4(1 + -3m) -20 + -6m = 2n + (1 * 4 + -3m * 4) -20 + -6m = 2n + (4 + -12m) Reorder the terms: -20 + -6m = 4 + -12m + 2n Solving -20 + -6m = 4 + -12m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -20 + -6m + 12m = 4 + -12m + 12m + 2n Combine like terms: -6m + 12m = 6m -20 + 6m = 4 + -12m + 12m + 2n Combine like terms: -12m + 12m = 0 -20 + 6m = 4 + 0 + 2n -20 + 6m = 4 + 2n Add '20' to each side of the equation. -20 + 20 + 6m = 4 + 20 + 2n Combine like terms: -20 + 20 = 0 0 + 6m = 4 + 20 + 2n 6m = 4 + 20 + 2n Combine like terms: 4 + 20 = 24 6m = 24 + 2n Divide each side by '6'. m = 4 + 0.3333333333n Simplifying m = 4 + 0.3333333333n
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