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Simplifying 8 + 2m + -5 = 9m + 3 + -6m Reorder the terms: 8 + -5 + 2m = 9m + 3 + -6m Combine like terms: 8 + -5 = 3 3 + 2m = 9m + 3 + -6m Reorder the terms: 3 + 2m = 3 + 9m + -6m Combine like terms: 9m + -6m = 3m 3 + 2m = 3 + 3m Add '-3' to each side of the equation. 3 + -3 + 2m = 3 + -3 + 3m Combine like terms: 3 + -3 = 0 0 + 2m = 3 + -3 + 3m 2m = 3 + -3 + 3m Combine like terms: 3 + -3 = 0 2m = 0 + 3m 2m = 3m Solving 2m = 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. 2m + -3m = 3m + -3m Combine like terms: 2m + -3m = -1m -1m = 3m + -3m Combine like terms: 3m + -3m = 0 -1m = 0 Divide each side by '-1'. m = 0 Simplifying m = 0
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