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Simplifying -9(n + -6) = -6n + -1(1 + -2n) Reorder the terms: -9(-6 + n) = -6n + -1(1 + -2n) (-6 * -9 + n * -9) = -6n + -1(1 + -2n) (54 + -9n) = -6n + -1(1 + -2n) 54 + -9n = -6n + (1 * -1 + -2n * -1) 54 + -9n = -6n + (-1 + 2n) Reorder the terms: 54 + -9n = -1 + -6n + 2n Combine like terms: -6n + 2n = -4n 54 + -9n = -1 + -4n Solving 54 + -9n = -1 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 54 + -9n + 4n = -1 + -4n + 4n Combine like terms: -9n + 4n = -5n 54 + -5n = -1 + -4n + 4n Combine like terms: -4n + 4n = 0 54 + -5n = -1 + 0 54 + -5n = -1 Add '-54' to each side of the equation. 54 + -54 + -5n = -1 + -54 Combine like terms: 54 + -54 = 0 0 + -5n = -1 + -54 -5n = -1 + -54 Combine like terms: -1 + -54 = -55 -5n = -55 Divide each side by '-5'. n = 11 Simplifying n = 11
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