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Simplifying 3(2n + -5) = 0.5(-12n + 30) Reorder the terms: 3(-5 + 2n) = 0.5(-12n + 30) (-5 * 3 + 2n * 3) = 0.5(-12n + 30) (-15 + 6n) = 0.5(-12n + 30) Reorder the terms: -15 + 6n = 0.5(30 + -12n) -15 + 6n = (30 * 0.5 + -12n * 0.5) -15 + 6n = (15 + -6n) Solving -15 + 6n = 15 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -15 + 6n + 6n = 15 + -6n + 6n Combine like terms: 6n + 6n = 12n -15 + 12n = 15 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + 12n = 15 + 0 -15 + 12n = 15 Add '15' to each side of the equation. -15 + 15 + 12n = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 12n = 15 + 15 12n = 15 + 15 Combine like terms: 15 + 15 = 30 12n = 30 Divide each side by '12'. n = 2.5 Simplifying n = 2.5
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