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Simplifying 7 + 2m + -1 = 9m + 8 + -6m Reorder the terms: 7 + -1 + 2m = 9m + 8 + -6m Combine like terms: 7 + -1 = 6 6 + 2m = 9m + 8 + -6m Reorder the terms: 6 + 2m = 8 + 9m + -6m Combine like terms: 9m + -6m = 3m 6 + 2m = 8 + 3m Solving 6 + 2m = 8 + 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 = 8 + 3m + -3m Combine like terms: 2m + -3m = -1m 6 + -1m = 8 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -1m = 8 + 0 6 + -1m = 8 Add '-6' to each side of the equation. 6 + -6 + -1m = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 8 + -6 -1m = 8 + -6 Combine like terms: 8 + -6 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2
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