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Simplifying 2m = 2[3(3 + 2m) + -1(3 + -1m)] 2m = 2[(3 * 3 + 2m * 3) + -1(3 + -1m)] 2m = 2[(9 + 6m) + -1(3 + -1m)] 2m = 2[9 + 6m + (3 * -1 + -1m * -1)] 2m = 2[9 + 6m + (-3 + 1m)] Reorder the terms: 2m = 2[9 + -3 + 6m + 1m] Combine like terms: 9 + -3 = 6 2m = 2[6 + 6m + 1m] Combine like terms: 6m + 1m = 7m 2m = 2[6 + 7m] 2m = [6 * 2 + 7m * 2] 2m = [12 + 14m] Solving 2m = 12 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 2m + -14m = 12 + 14m + -14m Combine like terms: 2m + -14m = -12m -12m = 12 + 14m + -14m Combine like terms: 14m + -14m = 0 -12m = 12 + 0 -12m = 12 Divide each side by '-12'. m = -1 Simplifying m = -1
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