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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 = -43 -43 + 7n = 34 Solving -43 + 7n = 34 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 = 34 + 43 Combine like terms: -43 + 43 = 0 0 + 7n = 34 + 43 7n = 34 + 43 Combine like terms: 34 + 43 = 77 7n = 77 Divide each side by '7'. n = 11 Simplifying n = 11
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