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Simplifying 6(n + 5) = -6(3 + -3n) Reorder the terms: 6(5 + n) = -6(3 + -3n) (5 * 6 + n * 6) = -6(3 + -3n) (30 + 6n) = -6(3 + -3n) 30 + 6n = (3 * -6 + -3n * -6) 30 + 6n = (-18 + 18n) Solving 30 + 6n = -18 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 30 + 6n + -18n = -18 + 18n + -18n Combine like terms: 6n + -18n = -12n 30 + -12n = -18 + 18n + -18n Combine like terms: 18n + -18n = 0 30 + -12n = -18 + 0 30 + -12n = -18 Add '-30' to each side of the equation. 30 + -30 + -12n = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -12n = -18 + -30 -12n = -18 + -30 Combine like terms: -18 + -30 = -48 -12n = -48 Divide each side by '-12'. n = 4 Simplifying n = 4
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