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Simplifying 2m + 6 = 7 + -5m Reorder the terms: 6 + 2m = 7 + -5m Solving 6 + 2m = 7 + -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. 6 + 2m + 5m = 7 + -5m + 5m Combine like terms: 2m + 5m = 7m 6 + 7m = 7 + -5m + 5m Combine like terms: -5m + 5m = 0 6 + 7m = 7 + 0 6 + 7m = 7 Add '-6' to each side of the equation. 6 + -6 + 7m = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 7m = 7 + -6 7m = 7 + -6 Combine like terms: 7 + -6 = 1 7m = 1 Divide each side by '7'. m = 0.1428571429 Simplifying m = 0.1428571429
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