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Simplifying (7n + -2) = (9n + -6) Reorder the terms: (-2 + 7n) = (9n + -6) Remove parenthesis around (-2 + 7n) -2 + 7n = (9n + -6) Reorder the terms: -2 + 7n = (-6 + 9n) Remove parenthesis around (-6 + 9n) -2 + 7n = -6 + 9n Solving -2 + 7n = -6 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -2 + 7n + -9n = -6 + 9n + -9n Combine like terms: 7n + -9n = -2n -2 + -2n = -6 + 9n + -9n Combine like terms: 9n + -9n = 0 -2 + -2n = -6 + 0 -2 + -2n = -6 Add '2' to each side of the equation. -2 + 2 + -2n = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = -6 + 2 -2n = -6 + 2 Combine like terms: -6 + 2 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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