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Simplifying 1 + 7(n + 6) = 8 Reorder the terms: 1 + 7(6 + n) = 8 1 + (6 * 7 + n * 7) = 8 1 + (42 + 7n) = 8 Combine like terms: 1 + 42 = 43 43 + 7n = 8 Solving 43 + 7n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7n = 8 + -43 Combine like terms: 43 + -43 = 0 0 + 7n = 8 + -43 7n = 8 + -43 Combine like terms: 8 + -43 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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