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Simplifying 3(5m + 7) + -3 = 1 + -2m Reorder the terms: 3(7 + 5m) + -3 = 1 + -2m (7 * 3 + 5m * 3) + -3 = 1 + -2m (21 + 15m) + -3 = 1 + -2m Reorder the terms: 21 + -3 + 15m = 1 + -2m Combine like terms: 21 + -3 = 18 18 + 15m = 1 + -2m Solving 18 + 15m = 1 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 18 + 15m + 2m = 1 + -2m + 2m Combine like terms: 15m + 2m = 17m 18 + 17m = 1 + -2m + 2m Combine like terms: -2m + 2m = 0 18 + 17m = 1 + 0 18 + 17m = 1 Add '-18' to each side of the equation. 18 + -18 + 17m = 1 + -18 Combine like terms: 18 + -18 = 0 0 + 17m = 1 + -18 17m = 1 + -18 Combine like terms: 1 + -18 = -17 17m = -17 Divide each side by '17'. m = -1 Simplifying m = -1
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