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Simplifying 6n + -1(2n + -9) = 9(n + 6) Reorder the terms: 6n + -1(-9 + 2n) = 9(n + 6) 6n + (-9 * -1 + 2n * -1) = 9(n + 6) 6n + (9 + -2n) = 9(n + 6) Reorder the terms: 9 + 6n + -2n = 9(n + 6) Combine like terms: 6n + -2n = 4n 9 + 4n = 9(n + 6) Reorder the terms: 9 + 4n = 9(6 + n) 9 + 4n = (6 * 9 + n * 9) 9 + 4n = (54 + 9n) Solving 9 + 4n = 54 + 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. 9 + 4n + -9n = 54 + 9n + -9n Combine like terms: 4n + -9n = -5n 9 + -5n = 54 + 9n + -9n Combine like terms: 9n + -9n = 0 9 + -5n = 54 + 0 9 + -5n = 54 Add '-9' to each side of the equation. 9 + -9 + -5n = 54 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = 54 + -9 -5n = 54 + -9 Combine like terms: 54 + -9 = 45 -5n = 45 Divide each side by '-5'. n = -9 Simplifying n = -9
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