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Simplifying (9n + (-1)) + -1(-7n + 5) = 0 (9n + -1) + -1(-7n + 5) = 0 Reorder the terms: (-1 + 9n) + -1(-7n + 5) = 0 Remove parenthesis around (-1 + 9n) -1 + 9n + -1(-7n + 5) = 0 Reorder the terms: -1 + 9n + -1(5 + -7n) = 0 -1 + 9n + (5 * -1 + -7n * -1) = 0 -1 + 9n + (-5 + 7n) = 0 Reorder the terms: -1 + -5 + 9n + 7n = 0 Combine like terms: -1 + -5 = -6 -6 + 9n + 7n = 0 Combine like terms: 9n + 7n = 16n -6 + 16n = 0 Solving -6 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 16n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 16n = 0 + 6 16n = 0 + 6 Combine like terms: 0 + 6 = 6 16n = 6 Divide each side by '16'. n = 0.375 Simplifying n = 0.375
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