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Simplifying -9n + (n + -7) = 6n + -35 Reorder the terms: -9n + (-7 + n) = 6n + -35 Remove parenthesis around (-7 + n) -9n + -7 + n = 6n + -35 Reorder the terms: -7 + -9n + n = 6n + -35 Combine like terms: -9n + n = -8n -7 + -8n = 6n + -35 Reorder the terms: -7 + -8n = -35 + 6n Solving -7 + -8n = -35 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -7 + -8n + -6n = -35 + 6n + -6n Combine like terms: -8n + -6n = -14n -7 + -14n = -35 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + -14n = -35 + 0 -7 + -14n = -35 Add '7' to each side of the equation. -7 + 7 + -14n = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -14n = -35 + 7 -14n = -35 + 7 Combine like terms: -35 + 7 = -28 -14n = -28 Divide each side by '-14'. n = 2 Simplifying n = 2
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