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Simplifying 7m + 10 = 5m + 22 Reorder the terms: 10 + 7m = 5m + 22 Reorder the terms: 10 + 7m = 22 + 5m Solving 10 + 7m = 22 + 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. 10 + 7m + -5m = 22 + 5m + -5m Combine like terms: 7m + -5m = 2m 10 + 2m = 22 + 5m + -5m Combine like terms: 5m + -5m = 0 10 + 2m = 22 + 0 10 + 2m = 22 Add '-10' to each side of the equation. 10 + -10 + 2m = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 2m = 22 + -10 2m = 22 + -10 Combine like terms: 22 + -10 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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