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Simplifying 8 + 17m + -2 = 9m + 76 + -6m Reorder the terms: 8 + -2 + 17m = 9m + 76 + -6m Combine like terms: 8 + -2 = 6 6 + 17m = 9m + 76 + -6m Reorder the terms: 6 + 17m = 76 + 9m + -6m Combine like terms: 9m + -6m = 3m 6 + 17m = 76 + 3m Solving 6 + 17m = 76 + 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 + 17m + -3m = 76 + 3m + -3m Combine like terms: 17m + -3m = 14m 6 + 14m = 76 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + 14m = 76 + 0 6 + 14m = 76 Add '-6' to each side of the equation. 6 + -6 + 14m = 76 + -6 Combine like terms: 6 + -6 = 0 0 + 14m = 76 + -6 14m = 76 + -6 Combine like terms: 76 + -6 = 70 14m = 70 Divide each side by '14'. m = 5 Simplifying m = 5
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