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Simplifying 5(5m + 2) = 3(7m + 2) Reorder the terms: 5(2 + 5m) = 3(7m + 2) (2 * 5 + 5m * 5) = 3(7m + 2) (10 + 25m) = 3(7m + 2) Reorder the terms: 10 + 25m = 3(2 + 7m) 10 + 25m = (2 * 3 + 7m * 3) 10 + 25m = (6 + 21m) Solving 10 + 25m = 6 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. 10 + 25m + -21m = 6 + 21m + -21m Combine like terms: 25m + -21m = 4m 10 + 4m = 6 + 21m + -21m Combine like terms: 21m + -21m = 0 10 + 4m = 6 + 0 10 + 4m = 6 Add '-10' to each side of the equation. 10 + -10 + 4m = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 4m = 6 + -10 4m = 6 + -10 Combine like terms: 6 + -10 = -4 4m = -4 Divide each side by '4'. m = -1 Simplifying m = -1
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