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Simplifying 2m + -6 = 9 + -3m Reorder the terms: -6 + 2m = 9 + -3m Solving -6 + 2m = 9 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -6 + 2m + 3m = 9 + -3m + 3m Combine like terms: 2m + 3m = 5m -6 + 5m = 9 + -3m + 3m Combine like terms: -3m + 3m = 0 -6 + 5m = 9 + 0 -6 + 5m = 9 Add '6' to each side of the equation. -6 + 6 + 5m = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5m = 9 + 6 5m = 9 + 6 Combine like terms: 9 + 6 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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