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Simplifying -6(n + -9) = 6(1 + -9n) Reorder the terms: -6(-9 + n) = 6(1 + -9n) (-9 * -6 + n * -6) = 6(1 + -9n) (54 + -6n) = 6(1 + -9n) 54 + -6n = (1 * 6 + -9n * 6) 54 + -6n = (6 + -54n) Solving 54 + -6n = 6 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. 54 + -6n + 54n = 6 + -54n + 54n Combine like terms: -6n + 54n = 48n 54 + 48n = 6 + -54n + 54n Combine like terms: -54n + 54n = 0 54 + 48n = 6 + 0 54 + 48n = 6 Add '-54' to each side of the equation. 54 + -54 + 48n = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 48n = 6 + -54 48n = 6 + -54 Combine like terms: 6 + -54 = -48 48n = -48 Divide each side by '48'. n = -1 Simplifying n = -1
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