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Simplifying 2(m + 5) = 4(n + -4m) Reorder the terms: 2(5 + m) = 4(n + -4m) (5 * 2 + m * 2) = 4(n + -4m) (10 + 2m) = 4(n + -4m) Reorder the terms: 10 + 2m = 4(-4m + n) 10 + 2m = (-4m * 4 + n * 4) 10 + 2m = (-16m + 4n) Solving 10 + 2m = -16m + 4n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 10 + 2m + 16m = -16m + 16m + 4n Combine like terms: 2m + 16m = 18m 10 + 18m = -16m + 16m + 4n Combine like terms: -16m + 16m = 0 10 + 18m = 0 + 4n 10 + 18m = 4n Add '-10' to each side of the equation. 10 + -10 + 18m = -10 + 4n Combine like terms: 10 + -10 = 0 0 + 18m = -10 + 4n 18m = -10 + 4n Divide each side by '18'. m = -0.5555555556 + 0.2222222222n Simplifying m = -0.5555555556 + 0.2222222222n
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