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Simplifying -3(2n + -5) = 0.5(-13n + 30) Reorder the terms: -3(-5 + 2n) = 0.5(-13n + 30) (-5 * -3 + 2n * -3) = 0.5(-13n + 30) (15 + -6n) = 0.5(-13n + 30) Reorder the terms: 15 + -6n = 0.5(30 + -13n) 15 + -6n = (30 * 0.5 + -13n * 0.5) 15 + -6n = (15 + -6.5n) Add '-15' to each side of the equation. 15 + -15 + -6n = 15 + -15 + -6.5n Combine like terms: 15 + -15 = 0 0 + -6n = 15 + -15 + -6.5n -6n = 15 + -15 + -6.5n Combine like terms: 15 + -15 = 0 -6n = 0 + -6.5n -6n = -6.5n Solving -6n = -6.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6.5n' to each side of the equation. -6n + 6.5n = -6.5n + 6.5n Combine like terms: -6n + 6.5n = 0.5n 0.5n = -6.5n + 6.5n Combine like terms: -6.5n + 6.5n = 0.0 0.5n = 0.0 Divide each side by '0.5'. n = 0 Simplifying n = 0
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