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Simplifying 3m + 14 = 6 + 2m + -12 Reorder the terms: 14 + 3m = 6 + 2m + -12 Reorder the terms: 14 + 3m = 6 + -12 + 2m Combine like terms: 6 + -12 = -6 14 + 3m = -6 + 2m Solving 14 + 3m = -6 + 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. 14 + 3m + -2m = -6 + 2m + -2m Combine like terms: 3m + -2m = 1m 14 + 1m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 14 + 1m = -6 + 0 14 + 1m = -6 Add '-14' to each side of the equation. 14 + -14 + 1m = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 1m = -6 + -14 1m = -6 + -14 Combine like terms: -6 + -14 = -20 1m = -20 Divide each side by '1'. m = -20 Simplifying m = -20
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