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Simplifying 5(5m + 7) = 17 + 7m Reorder the terms: 5(7 + 5m) = 17 + 7m (7 * 5 + 5m * 5) = 17 + 7m (35 + 25m) = 17 + 7m Solving 35 + 25m = 17 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 35 + 25m + -7m = 17 + 7m + -7m Combine like terms: 25m + -7m = 18m 35 + 18m = 17 + 7m + -7m Combine like terms: 7m + -7m = 0 35 + 18m = 17 + 0 35 + 18m = 17 Add '-35' to each side of the equation. 35 + -35 + 18m = 17 + -35 Combine like terms: 35 + -35 = 0 0 + 18m = 17 + -35 18m = 17 + -35 Combine like terms: 17 + -35 = -18 18m = -18 Divide each side by '18'. m = -1 Simplifying m = -1
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