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Simplifying 6(n + -5) = -18 + 4n Reorder the terms: 6(-5 + n) = -18 + 4n (-5 * 6 + n * 6) = -18 + 4n (-30 + 6n) = -18 + 4n Solving -30 + 6n = -18 + 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. -30 + 6n + -4n = -18 + 4n + -4n Combine like terms: 6n + -4n = 2n -30 + 2n = -18 + 4n + -4n Combine like terms: 4n + -4n = 0 -30 + 2n = -18 + 0 -30 + 2n = -18 Add '30' to each side of the equation. -30 + 30 + 2n = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 2n = -18 + 30 2n = -18 + 30 Combine like terms: -18 + 30 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6

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