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Simplifying 6(2m + 3) = 2(5m + 4) + m Reorder the terms: 6(3 + 2m) = 2(5m + 4) + m (3 * 6 + 2m * 6) = 2(5m + 4) + m (18 + 12m) = 2(5m + 4) + m Reorder the terms: 18 + 12m = 2(4 + 5m) + m 18 + 12m = (4 * 2 + 5m * 2) + m 18 + 12m = (8 + 10m) + m Combine like terms: 10m + m = 11m 18 + 12m = 8 + 11m Solving 18 + 12m = 8 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 18 + 12m + -11m = 8 + 11m + -11m Combine like terms: 12m + -11m = 1m 18 + 1m = 8 + 11m + -11m Combine like terms: 11m + -11m = 0 18 + 1m = 8 + 0 18 + 1m = 8 Add '-18' to each side of the equation. 18 + -18 + 1m = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 1m = 8 + -18 1m = 8 + -18 Combine like terms: 8 + -18 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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