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Simplifying -2[1 + -1(3m + 7)] + -12 = 4(5 + -1m) Reorder the terms: -2[1 + -1(7 + 3m)] + -12 = 4(5 + -1m) -2[1 + (7 * -1 + 3m * -1)] + -12 = 4(5 + -1m) -2[1 + (-7 + -3m)] + -12 = 4(5 + -1m) Combine like terms: 1 + -7 = -6 -2[-6 + -3m] + -12 = 4(5 + -1m) [-6 * -2 + -3m * -2] + -12 = 4(5 + -1m) [12 + 6m] + -12 = 4(5 + -1m) Reorder the terms: 12 + -12 + 6m = 4(5 + -1m) Combine like terms: 12 + -12 = 0 0 + 6m = 4(5 + -1m) 6m = 4(5 + -1m) 6m = (5 * 4 + -1m * 4) 6m = (20 + -4m) Solving 6m = 20 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 6m + 4m = 20 + -4m + 4m Combine like terms: 6m + 4m = 10m 10m = 20 + -4m + 4m Combine like terms: -4m + 4m = 0 10m = 20 + 0 10m = 20 Divide each side by '10'. m = 2 Simplifying m = 2
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