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Simplifying 7m + 3 = 5m + 21 Reorder the terms: 3 + 7m = 5m + 21 Reorder the terms: 3 + 7m = 21 + 5m Solving 3 + 7m = 21 + 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. 3 + 7m + -5m = 21 + 5m + -5m Combine like terms: 7m + -5m = 2m 3 + 2m = 21 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 2m = 21 + 0 3 + 2m = 21 Add '-3' to each side of the equation. 3 + -3 + 2m = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 21 + -3 2m = 21 + -3 Combine like terms: 21 + -3 = 18 2m = 18 Divide each side by '2'. m = 9 Simplifying m = 9
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