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