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Simplifying 9 + 7m + -1 = 9m + 38 + -7m Reorder the terms: 9 + -1 + 7m = 9m + 38 + -7m Combine like terms: 9 + -1 = 8 8 + 7m = 9m + 38 + -7m Reorder the terms: 8 + 7m = 38 + 9m + -7m Combine like terms: 9m + -7m = 2m 8 + 7m = 38 + 2m Solving 8 + 7m = 38 + 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. 8 + 7m + -2m = 38 + 2m + -2m Combine like terms: 7m + -2m = 5m 8 + 5m = 38 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + 5m = 38 + 0 8 + 5m = 38 Add '-8' to each side of the equation. 8 + -8 + 5m = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 38 + -8 5m = 38 + -8 Combine like terms: 38 + -8 = 30 5m = 30 Divide each side by '5'. m = 6 Simplifying m = 6
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