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