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Simplifying 1 + -1m = 6(m + 10) + -3(3m + 1) Reorder the terms: 1 + -1m = 6(10 + m) + -3(3m + 1) 1 + -1m = (10 * 6 + m * 6) + -3(3m + 1) 1 + -1m = (60 + 6m) + -3(3m + 1) Reorder the terms: 1 + -1m = 60 + 6m + -3(1 + 3m) 1 + -1m = 60 + 6m + (1 * -3 + 3m * -3) 1 + -1m = 60 + 6m + (-3 + -9m) Reorder the terms: 1 + -1m = 60 + -3 + 6m + -9m Combine like terms: 60 + -3 = 57 1 + -1m = 57 + 6m + -9m Combine like terms: 6m + -9m = -3m 1 + -1m = 57 + -3m Solving 1 + -1m = 57 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 1 + -1m + 3m = 57 + -3m + 3m Combine like terms: -1m + 3m = 2m 1 + 2m = 57 + -3m + 3m Combine like terms: -3m + 3m = 0 1 + 2m = 57 + 0 1 + 2m = 57 Add '-1' to each side of the equation. 1 + -1 + 2m = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 57 + -1 2m = 57 + -1 Combine like terms: 57 + -1 = 56 2m = 56 Divide each side by '2'. m = 28 Simplifying m = 28
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