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Simplifying 5m + 6 + 10 = 3m + 2 + 20 Reorder the terms: 6 + 10 + 5m = 3m + 2 + 20 Combine like terms: 6 + 10 = 16 16 + 5m = 3m + 2 + 20 Reorder the terms: 16 + 5m = 2 + 20 + 3m Combine like terms: 2 + 20 = 22 16 + 5m = 22 + 3m Solving 16 + 5m = 22 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 16 + 5m + -3m = 22 + 3m + -3m Combine like terms: 5m + -3m = 2m 16 + 2m = 22 + 3m + -3m Combine like terms: 3m + -3m = 0 16 + 2m = 22 + 0 16 + 2m = 22 Add '-16' to each side of the equation. 16 + -16 + 2m = 22 + -16 Combine like terms: 16 + -16 = 0 0 + 2m = 22 + -16 2m = 22 + -16 Combine like terms: 22 + -16 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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