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Simplifying 57 = 4(7m + 1) + 5(3 + 2m) Reorder the terms: 57 = 4(1 + 7m) + 5(3 + 2m) 57 = (1 * 4 + 7m * 4) + 5(3 + 2m) 57 = (4 + 28m) + 5(3 + 2m) 57 = 4 + 28m + (3 * 5 + 2m * 5) 57 = 4 + 28m + (15 + 10m) Reorder the terms: 57 = 4 + 15 + 28m + 10m Combine like terms: 4 + 15 = 19 57 = 19 + 28m + 10m Combine like terms: 28m + 10m = 38m 57 = 19 + 38m Solving 57 = 19 + 38m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38m' to each side of the equation. 57 + -38m = 19 + 38m + -38m Combine like terms: 38m + -38m = 0 57 + -38m = 19 + 0 57 + -38m = 19 Add '-57' to each side of the equation. 57 + -57 + -38m = 19 + -57 Combine like terms: 57 + -57 = 0 0 + -38m = 19 + -57 -38m = 19 + -57 Combine like terms: 19 + -57 = -38 -38m = -38 Divide each side by '-38'. m = 1 Simplifying m = 1
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