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Simplifying (n + -6) * 7 = 35 Reorder the terms: (-6 + n) * 7 = 35 Reorder the terms for easier multiplication: 7(-6 + n) = 35 (-6 * 7 + n * 7) = 35 (-42 + 7n) = 35 Solving -42 + 7n = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7n = 35 + 42 Combine like terms: -42 + 42 = 0 0 + 7n = 35 + 42 7n = 35 + 42 Combine like terms: 35 + 42 = 77 7n = 77 Divide each side by '7'. n = 11 Simplifying n = 11
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