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Simplifying (5n + 7) + -1(3n + 9) = 0 Reorder the terms: (7 + 5n) + -1(3n + 9) = 0 Remove parenthesis around (7 + 5n) 7 + 5n + -1(3n + 9) = 0 Reorder the terms: 7 + 5n + -1(9 + 3n) = 0 7 + 5n + (9 * -1 + 3n * -1) = 0 7 + 5n + (-9 + -3n) = 0 Reorder the terms: 7 + -9 + 5n + -3n = 0 Combine like terms: 7 + -9 = -2 -2 + 5n + -3n = 0 Combine like terms: 5n + -3n = 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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