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Simplifying 3(m + 4) = 2(m + -9) + 4m Reorder the terms: 3(4 + m) = 2(m + -9) + 4m (4 * 3 + m * 3) = 2(m + -9) + 4m (12 + 3m) = 2(m + -9) + 4m Reorder the terms: 12 + 3m = 2(-9 + m) + 4m 12 + 3m = (-9 * 2 + m * 2) + 4m 12 + 3m = (-18 + 2m) + 4m Combine like terms: 2m + 4m = 6m 12 + 3m = -18 + 6m Solving 12 + 3m = -18 + 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. 12 + 3m + -6m = -18 + 6m + -6m Combine like terms: 3m + -6m = -3m 12 + -3m = -18 + 6m + -6m Combine like terms: 6m + -6m = 0 12 + -3m = -18 + 0 12 + -3m = -18 Add '-12' to each side of the equation. 12 + -12 + -3m = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -3m = -18 + -12 -3m = -18 + -12 Combine like terms: -18 + -12 = -30 -3m = -30 Divide each side by '-3'. m = 10 Simplifying m = 10
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