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Simplifying 8m + -3(4m + -9) = 2(3m + 2) + 3 Reorder the terms: 8m + -3(-9 + 4m) = 2(3m + 2) + 3 8m + (-9 * -3 + 4m * -3) = 2(3m + 2) + 3 8m + (27 + -12m) = 2(3m + 2) + 3 Reorder the terms: 27 + 8m + -12m = 2(3m + 2) + 3 Combine like terms: 8m + -12m = -4m 27 + -4m = 2(3m + 2) + 3 Reorder the terms: 27 + -4m = 2(2 + 3m) + 3 27 + -4m = (2 * 2 + 3m * 2) + 3 27 + -4m = (4 + 6m) + 3 Reorder the terms: 27 + -4m = 4 + 3 + 6m Combine like terms: 4 + 3 = 7 27 + -4m = 7 + 6m Solving 27 + -4m = 7 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 27 + -4m + -6m = 7 + 6m + -6m Combine like terms: -4m + -6m = -10m 27 + -10m = 7 + 6m + -6m Combine like terms: 6m + -6m = 0 27 + -10m = 7 + 0 27 + -10m = 7 Add '-27' to each side of the equation. 27 + -27 + -10m = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -10m = 7 + -27 -10m = 7 + -27 Combine like terms: 7 + -27 = -20 -10m = -20 Divide each side by '-10'. m = 2 Simplifying m = 2
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