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Simplifying 7m + 20 = 5m + 30 Reorder the terms: 20 + 7m = 5m + 30 Reorder the terms: 20 + 7m = 30 + 5m Solving 20 + 7m = 30 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 20 + 7m + -5m = 30 + 5m + -5m Combine like terms: 7m + -5m = 2m 20 + 2m = 30 + 5m + -5m Combine like terms: 5m + -5m = 0 20 + 2m = 30 + 0 20 + 2m = 30 Add '-20' to each side of the equation. 20 + -20 + 2m = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 2m = 30 + -20 2m = 30 + -20 Combine like terms: 30 + -20 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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