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Simplifying 6n + -1(18 + 4n) = 6(3n + -4) 6n + (18 * -1 + 4n * -1) = 6(3n + -4) 6n + (-18 + -4n) = 6(3n + -4) Reorder the terms: -18 + 6n + -4n = 6(3n + -4) Combine like terms: 6n + -4n = 2n -18 + 2n = 6(3n + -4) Reorder the terms: -18 + 2n = 6(-4 + 3n) -18 + 2n = (-4 * 6 + 3n * 6) -18 + 2n = (-24 + 18n) Solving -18 + 2n = -24 + 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. -18 + 2n + -18n = -24 + 18n + -18n Combine like terms: 2n + -18n = -16n -18 + -16n = -24 + 18n + -18n Combine like terms: 18n + -18n = 0 -18 + -16n = -24 + 0 -18 + -16n = -24 Add '18' to each side of the equation. -18 + 18 + -16n = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -16n = -24 + 18 -16n = -24 + 18 Combine like terms: -24 + 18 = -6 -16n = -6 Divide each side by '-16'. n = 0.375 Simplifying n = 0.375
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