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Simplifying 4(2m + 3) + 4 = 2(5m + 4) + -1m Reorder the terms: 4(3 + 2m) + 4 = 2(5m + 4) + -1m (3 * 4 + 2m * 4) + 4 = 2(5m + 4) + -1m (12 + 8m) + 4 = 2(5m + 4) + -1m Reorder the terms: 12 + 4 + 8m = 2(5m + 4) + -1m Combine like terms: 12 + 4 = 16 16 + 8m = 2(5m + 4) + -1m Reorder the terms: 16 + 8m = 2(4 + 5m) + -1m 16 + 8m = (4 * 2 + 5m * 2) + -1m 16 + 8m = (8 + 10m) + -1m Combine like terms: 10m + -1m = 9m 16 + 8m = 8 + 9m Solving 16 + 8m = 8 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 16 + 8m + -9m = 8 + 9m + -9m Combine like terms: 8m + -9m = -1m 16 + -1m = 8 + 9m + -9m Combine like terms: 9m + -9m = 0 16 + -1m = 8 + 0 16 + -1m = 8 Add '-16' to each side of the equation. 16 + -16 + -1m = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 8 + -16 -1m = 8 + -16 Combine like terms: 8 + -16 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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