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Simplifying m + 3 + 2m + 1 = 5m + 2 Reorder the terms: 3 + 1 + m + 2m = 5m + 2 Combine like terms: 3 + 1 = 4 4 + m + 2m = 5m + 2 Combine like terms: m + 2m = 3m 4 + 3m = 5m + 2 Reorder the terms: 4 + 3m = 2 + 5m Solving 4 + 3m = 2 + 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. 4 + 3m + -5m = 2 + 5m + -5m Combine like terms: 3m + -5m = -2m 4 + -2m = 2 + 5m + -5m Combine like terms: 5m + -5m = 0 4 + -2m = 2 + 0 4 + -2m = 2 Add '-4' to each side of the equation. 4 + -4 + -2m = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2m = 2 + -4 -2m = 2 + -4 Combine like terms: 2 + -4 = -2 -2m = -2 Divide each side by '-2'. m = 1 Simplifying m = 1
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