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Simplifying 12m + 6 = 34 + -2m Reorder the terms: 6 + 12m = 34 + -2m Solving 6 + 12m = 34 + -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 + 12m + 2m = 34 + -2m + 2m Combine like terms: 12m + 2m = 14m 6 + 14m = 34 + -2m + 2m Combine like terms: -2m + 2m = 0 6 + 14m = 34 + 0 6 + 14m = 34 Add '-6' to each side of the equation. 6 + -6 + 14m = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 14m = 34 + -6 14m = 34 + -6 Combine like terms: 34 + -6 = 28 14m = 28 Divide each side by '14'. m = 2 Simplifying m = 2
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