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Simplifying m + 2m + 6 = 12 + 2m Reorder the terms: 6 + m + 2m = 12 + 2m Combine like terms: m + 2m = 3m 6 + 3m = 12 + 2m Solving 6 + 3m = 12 + 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. 6 + 3m + -2m = 12 + 2m + -2m Combine like terms: 3m + -2m = 1m 6 + 1m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + 1m = 12 + 0 6 + 1m = 12 Add '-6' to each side of the equation. 6 + -6 + 1m = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1m = 12 + -6 1m = 12 + -6 Combine like terms: 12 + -6 = 6 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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