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Simplifying m + 3 = 2m + 1 Reorder the terms: 3 + m = 2m + 1 Reorder the terms: 3 + m = 1 + 2m Solving 3 + m = 1 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3 + m + -2m = 1 + 2m + -2m Combine like terms: m + -2m = -1m 3 + -1m = 1 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + -1m = 1 + 0 3 + -1m = 1 Add '-3' to each side of the equation. 3 + -3 + -1m = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 1 + -3 -1m = 1 + -3 Combine like terms: 1 + -3 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2
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