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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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