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Simplifying 5n + -1(n + -9) = 3(2n + 3) Reorder the terms: 5n + -1(-9 + n) = 3(2n + 3) 5n + (-9 * -1 + n * -1) = 3(2n + 3) 5n + (9 + -1n) = 3(2n + 3) Reorder the terms: 9 + 5n + -1n = 3(2n + 3) Combine like terms: 5n + -1n = 4n 9 + 4n = 3(2n + 3) Reorder the terms: 9 + 4n = 3(3 + 2n) 9 + 4n = (3 * 3 + 2n * 3) 9 + 4n = (9 + 6n) Add '-9' to each side of the equation. 9 + -9 + 4n = 9 + -9 + 6n Combine like terms: 9 + -9 = 0 0 + 4n = 9 + -9 + 6n 4n = 9 + -9 + 6n Combine like terms: 9 + -9 = 0 4n = 0 + 6n 4n = 6n Solving 4n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 4n + -6n = 6n + -6n Combine like terms: 4n + -6n = -2n -2n = 6n + -6n Combine like terms: 6n + -6n = 0 -2n = 0 Divide each side by '-2'. n = 0 Simplifying n = 0
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