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