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Simplifying 9 + 9m + -4 = 7m + 45 + -3m Reorder the terms: 9 + -4 + 9m = 7m + 45 + -3m Combine like terms: 9 + -4 = 5 5 + 9m = 7m + 45 + -3m Reorder the terms: 5 + 9m = 45 + 7m + -3m Combine like terms: 7m + -3m = 4m 5 + 9m = 45 + 4m Solving 5 + 9m = 45 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5 + 9m + -4m = 45 + 4m + -4m Combine like terms: 9m + -4m = 5m 5 + 5m = 45 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + 5m = 45 + 0 5 + 5m = 45 Add '-5' to each side of the equation. 5 + -5 + 5m = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = 45 + -5 5m = 45 + -5 Combine like terms: 45 + -5 = 40 5m = 40 Divide each side by '5'. m = 8 Simplifying m = 8
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