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Simplifying -54 = 6(n + 9) Reorder the terms: -54 = 6(9 + n) -54 = (9 * 6 + n * 6) -54 = (54 + 6n) Solving -54 = 54 + 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. -54 + -6n = 54 + 6n + -6n Combine like terms: 6n + -6n = 0 -54 + -6n = 54 + 0 -54 + -6n = 54 Add '54' to each side of the equation. -54 + 54 + -6n = 54 + 54 Combine like terms: -54 + 54 = 0 0 + -6n = 54 + 54 -6n = 54 + 54 Combine like terms: 54 + 54 = 108 -6n = 108 Divide each side by '-6'. n = -18 Simplifying n = -18
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