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Simplifying 4m + 5m + -9 = 3m + m + 6 Reorder the terms: -9 + 4m + 5m = 3m + m + 6 Combine like terms: 4m + 5m = 9m -9 + 9m = 3m + m + 6 Reorder the terms: -9 + 9m = 6 + 3m + m Combine like terms: 3m + m = 4m -9 + 9m = 6 + 4m Solving -9 + 9m = 6 + 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. -9 + 9m + -4m = 6 + 4m + -4m Combine like terms: 9m + -4m = 5m -9 + 5m = 6 + 4m + -4m Combine like terms: 4m + -4m = 0 -9 + 5m = 6 + 0 -9 + 5m = 6 Add '9' to each side of the equation. -9 + 9 + 5m = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5m = 6 + 9 5m = 6 + 9 Combine like terms: 6 + 9 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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