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Simplifying 3(2n + -5) = 1.5(-12n + 30) Reorder the terms: 3(-5 + 2n) = 1.5(-12n + 30) (-5 * 3 + 2n * 3) = 1.5(-12n + 30) (-15 + 6n) = 1.5(-12n + 30) Reorder the terms: -15 + 6n = 1.5(30 + -12n) -15 + 6n = (30 * 1.5 + -12n * 1.5) -15 + 6n = (45 + -18n) Solving -15 + 6n = 45 + -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. -15 + 6n + 18n = 45 + -18n + 18n Combine like terms: 6n + 18n = 24n -15 + 24n = 45 + -18n + 18n Combine like terms: -18n + 18n = 0 -15 + 24n = 45 + 0 -15 + 24n = 45 Add '15' to each side of the equation. -15 + 15 + 24n = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 24n = 45 + 15 24n = 45 + 15 Combine like terms: 45 + 15 = 60 24n = 60 Divide each side by '24'. n = 2.5 Simplifying n = 2.5
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