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Simplifying 8 + 15m + -7 = 9m + 61 + -6m Reorder the terms: 8 + -7 + 15m = 9m + 61 + -6m Combine like terms: 8 + -7 = 1 1 + 15m = 9m + 61 + -6m Reorder the terms: 1 + 15m = 61 + 9m + -6m Combine like terms: 9m + -6m = 3m 1 + 15m = 61 + 3m Solving 1 + 15m = 61 + 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 + 15m + -3m = 61 + 3m + -3m Combine like terms: 15m + -3m = 12m 1 + 12m = 61 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 12m = 61 + 0 1 + 12m = 61 Add '-1' to each side of the equation. 1 + -1 + 12m = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 12m = 61 + -1 12m = 61 + -1 Combine like terms: 61 + -1 = 60 12m = 60 Divide each side by '12'. m = 5 Simplifying m = 5
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