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Simplifying 6 + 8m + -3 = 9m + 38 + -6m Reorder the terms: 6 + -3 + 8m = 9m + 38 + -6m Combine like terms: 6 + -3 = 3 3 + 8m = 9m + 38 + -6m Reorder the terms: 3 + 8m = 38 + 9m + -6m Combine like terms: 9m + -6m = 3m 3 + 8m = 38 + 3m Solving 3 + 8m = 38 + 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. 3 + 8m + -3m = 38 + 3m + -3m Combine like terms: 8m + -3m = 5m 3 + 5m = 38 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 5m = 38 + 0 3 + 5m = 38 Add '-3' to each side of the equation. 3 + -3 + 5m = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 38 + -3 5m = 38 + -3 Combine like terms: 38 + -3 = 35 5m = 35 Divide each side by '5'. m = 7 Simplifying m = 7
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