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Simplifying 6(9 + -1n) = 3n + -18 (9 * 6 + -1n * 6) = 3n + -18 (54 + -6n) = 3n + -18 Reorder the terms: 54 + -6n = -18 + 3n Solving 54 + -6n = -18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 54 + -6n + -3n = -18 + 3n + -3n Combine like terms: -6n + -3n = -9n 54 + -9n = -18 + 3n + -3n Combine like terms: 3n + -3n = 0 54 + -9n = -18 + 0 54 + -9n = -18 Add '-54' to each side of the equation. 54 + -54 + -9n = -18 + -54 Combine like terms: 54 + -54 = 0 0 + -9n = -18 + -54 -9n = -18 + -54 Combine like terms: -18 + -54 = -72 -9n = -72 Divide each side by '-9'. n = 8 Simplifying n = 8
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