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Simplifying 12 + 2m = m + 13 Reorder the terms: 12 + 2m = 13 + m Solving 12 + 2m = 13 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 12 + 2m + -1m = 13 + m + -1m Combine like terms: 2m + -1m = 1m 12 + 1m = 13 + m + -1m Combine like terms: m + -1m = 0 12 + 1m = 13 + 0 12 + 1m = 13 Add '-12' to each side of the equation. 12 + -12 + 1m = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1m = 13 + -12 1m = 13 + -12 Combine like terms: 13 + -12 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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