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Simplifying 8m + -1(2m + -3) = 3(m + -4) Reorder the terms: 8m + -1(-3 + 2m) = 3(m + -4) 8m + (-3 * -1 + 2m * -1) = 3(m + -4) 8m + (3 + -2m) = 3(m + -4) Reorder the terms: 3 + 8m + -2m = 3(m + -4) Combine like terms: 8m + -2m = 6m 3 + 6m = 3(m + -4) Reorder the terms: 3 + 6m = 3(-4 + m) 3 + 6m = (-4 * 3 + m * 3) 3 + 6m = (-12 + 3m) Solving 3 + 6m = -12 + 3m 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. 3 + 6m + -3m = -12 + 3m + -3m Combine like terms: 6m + -3m = 3m 3 + 3m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 3m = -12 + 0 3 + 3m = -12 Add '-3' to each side of the equation. 3 + -3 + 3m = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3m = -12 + -3 3m = -12 + -3 Combine like terms: -12 + -3 = -15 3m = -15 Divide each side by '3'. m = -5 Simplifying m = -5
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