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Simplifying (9n + -5) + -1(7n + -3) = 0 Reorder the terms: (-5 + 9n) + -1(7n + -3) = 0 Remove parenthesis around (-5 + 9n) -5 + 9n + -1(7n + -3) = 0 Reorder the terms: -5 + 9n + -1(-3 + 7n) = 0 -5 + 9n + (-3 * -1 + 7n * -1) = 0 -5 + 9n + (3 + -7n) = 0 Reorder the terms: -5 + 3 + 9n + -7n = 0 Combine like terms: -5 + 3 = -2 -2 + 9n + -7n = 0 Combine like terms: 9n + -7n = 2n -2 + 2n = 0 Solving -2 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 0 + 2 2n = 0 + 2 Combine like terms: 0 + 2 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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