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Simplifying 3(6 + -1n) = 3(n + -8) (6 * 3 + -1n * 3) = 3(n + -8) (18 + -3n) = 3(n + -8) Reorder the terms: 18 + -3n = 3(-8 + n) 18 + -3n = (-8 * 3 + n * 3) 18 + -3n = (-24 + 3n) Solving 18 + -3n = -24 + 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. 18 + -3n + -3n = -24 + 3n + -3n Combine like terms: -3n + -3n = -6n 18 + -6n = -24 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + -6n = -24 + 0 18 + -6n = -24 Add '-18' to each side of the equation. 18 + -18 + -6n = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -6n = -24 + -18 -6n = -24 + -18 Combine like terms: -24 + -18 = -42 -6n = -42 Divide each side by '-6'. n = 7 Simplifying n = 7
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