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Simplifying (9n + -21) = (-35 + 7n) Reorder the terms: (-21 + 9n) = (-35 + 7n) Remove parenthesis around (-21 + 9n) -21 + 9n = (-35 + 7n) Remove parenthesis around (-35 + 7n) -21 + 9n = -35 + 7n Solving -21 + 9n = -35 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -21 + 9n + -7n = -35 + 7n + -7n Combine like terms: 9n + -7n = 2n -21 + 2n = -35 + 7n + -7n Combine like terms: 7n + -7n = 0 -21 + 2n = -35 + 0 -21 + 2n = -35 Add '21' to each side of the equation. -21 + 21 + 2n = -35 + 21 Combine like terms: -21 + 21 = 0 0 + 2n = -35 + 21 2n = -35 + 21 Combine like terms: -35 + 21 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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