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Simplifying 6(2m + 3) + -4 = 2(5m + 4) + m Reorder the terms: 6(3 + 2m) + -4 = 2(5m + 4) + m (3 * 6 + 2m * 6) + -4 = 2(5m + 4) + m (18 + 12m) + -4 = 2(5m + 4) + m Reorder the terms: 18 + -4 + 12m = 2(5m + 4) + m Combine like terms: 18 + -4 = 14 14 + 12m = 2(5m + 4) + m Reorder the terms: 14 + 12m = 2(4 + 5m) + m 14 + 12m = (4 * 2 + 5m * 2) + m 14 + 12m = (8 + 10m) + m Combine like terms: 10m + m = 11m 14 + 12m = 8 + 11m Solving 14 + 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. 14 + 12m + -11m = 8 + 11m + -11m Combine like terms: 12m + -11m = 1m 14 + 1m = 8 + 11m + -11m Combine like terms: 11m + -11m = 0 14 + 1m = 8 + 0 14 + 1m = 8 Add '-14' to each side of the equation. 14 + -14 + 1m = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 1m = 8 + -14 1m = 8 + -14 Combine like terms: 8 + -14 = -6 1m = -6 Divide each side by '1'. m = -6 Simplifying m = -6
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