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