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Simplifying 18(2n + -5) = 6(4n + -5) Reorder the terms: 18(-5 + 2n) = 6(4n + -5) (-5 * 18 + 2n * 18) = 6(4n + -5) (-90 + 36n) = 6(4n + -5) Reorder the terms: -90 + 36n = 6(-5 + 4n) -90 + 36n = (-5 * 6 + 4n * 6) -90 + 36n = (-30 + 24n) Solving -90 + 36n = -30 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -90 + 36n + -24n = -30 + 24n + -24n Combine like terms: 36n + -24n = 12n -90 + 12n = -30 + 24n + -24n Combine like terms: 24n + -24n = 0 -90 + 12n = -30 + 0 -90 + 12n = -30 Add '90' to each side of the equation. -90 + 90 + 12n = -30 + 90 Combine like terms: -90 + 90 = 0 0 + 12n = -30 + 90 12n = -30 + 90 Combine like terms: -30 + 90 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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