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Simplifying 7(n + 6) + -1 = 34 Reorder the terms: 7(6 + n) + -1 = 34 (6 * 7 + n * 7) + -1 = 34 (42 + 7n) + -1 = 34 Reorder the terms: 42 + -1 + 7n = 34 Combine like terms: 42 + -1 = 41 41 + 7n = 34 Solving 41 + 7n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 7n = 34 + -41 Combine like terms: 41 + -41 = 0 0 + 7n = 34 + -41 7n = 34 + -41 Combine like terms: 34 + -41 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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