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Simplifying 1m + -14 = 3m + 2 Reorder the terms: -14 + 1m = 3m + 2 Reorder the terms: -14 + 1m = 2 + 3m Solving -14 + 1m = 2 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -14 + 1m + -3m = 2 + 3m + -3m Combine like terms: 1m + -3m = -2m -14 + -2m = 2 + 3m + -3m Combine like terms: 3m + -3m = 0 -14 + -2m = 2 + 0 -14 + -2m = 2 Add '14' to each side of the equation. -14 + 14 + -2m = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -2m = 2 + 14 -2m = 2 + 14 Combine like terms: 2 + 14 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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