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Simplifying 8 + 7m + -2 = 9m + 46 + -7m Reorder the terms: 8 + -2 + 7m = 9m + 46 + -7m Combine like terms: 8 + -2 = 6 6 + 7m = 9m + 46 + -7m Reorder the terms: 6 + 7m = 46 + 9m + -7m Combine like terms: 9m + -7m = 2m 6 + 7m = 46 + 2m Solving 6 + 7m = 46 + 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 + 7m + -2m = 46 + 2m + -2m Combine like terms: 7m + -2m = 5m 6 + 5m = 46 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + 5m = 46 + 0 6 + 5m = 46 Add '-6' to each side of the equation. 6 + -6 + 5m = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 5m = 46 + -6 5m = 46 + -6 Combine like terms: 46 + -6 = 40 5m = 40 Divide each side by '5'. m = 8 Simplifying m = 8
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