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Simplifying 5m + 10m + -9 = 6m + 9 Reorder the terms: -9 + 5m + 10m = 6m + 9 Combine like terms: 5m + 10m = 15m -9 + 15m = 6m + 9 Reorder the terms: -9 + 15m = 9 + 6m Solving -9 + 15m = 9 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -9 + 15m + -6m = 9 + 6m + -6m Combine like terms: 15m + -6m = 9m -9 + 9m = 9 + 6m + -6m Combine like terms: 6m + -6m = 0 -9 + 9m = 9 + 0 -9 + 9m = 9 Add '9' to each side of the equation. -9 + 9 + 9m = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 9m = 9 + 9 9m = 9 + 9 Combine like terms: 9 + 9 = 18 9m = 18 Divide each side by '9'. m = 2 Simplifying m = 2
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