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Simplifying 1m + 2 = -5m + 14 Reorder the terms: 2 + 1m = -5m + 14 Reorder the terms: 2 + 1m = 14 + -5m Solving 2 + 1m = 14 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 2 + 1m + 5m = 14 + -5m + 5m Combine like terms: 1m + 5m = 6m 2 + 6m = 14 + -5m + 5m Combine like terms: -5m + 5m = 0 2 + 6m = 14 + 0 2 + 6m = 14 Add '-2' to each side of the equation. 2 + -2 + 6m = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6m = 14 + -2 6m = 14 + -2 Combine like terms: 14 + -2 = 12 6m = 12 Divide each side by '6'. m = 2 Simplifying m = 2
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