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Simplifying 3(5m + 2) = 7(5m + 7) Reorder the terms: 3(2 + 5m) = 7(5m + 7) (2 * 3 + 5m * 3) = 7(5m + 7) (6 + 15m) = 7(5m + 7) Reorder the terms: 6 + 15m = 7(7 + 5m) 6 + 15m = (7 * 7 + 5m * 7) 6 + 15m = (49 + 35m) Solving 6 + 15m = 49 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 6 + 15m + -35m = 49 + 35m + -35m Combine like terms: 15m + -35m = -20m 6 + -20m = 49 + 35m + -35m Combine like terms: 35m + -35m = 0 6 + -20m = 49 + 0 6 + -20m = 49 Add '-6' to each side of the equation. 6 + -6 + -20m = 49 + -6 Combine like terms: 6 + -6 = 0 0 + -20m = 49 + -6 -20m = 49 + -6 Combine like terms: 49 + -6 = 43 -20m = 43 Divide each side by '-20'. m = -2.15 Simplifying m = -2.15
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