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Simplifying 5(n + -3) = 8 + -6(n) Reorder the terms: 5(-3 + n) = 8 + -6(n) (-3 * 5 + n * 5) = 8 + -6(n) (-15 + 5n) = 8 + -6(n) Solving -15 + 5n = 8 + -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 + 5n + 6n = 8 + -6n + 6n Combine like terms: 5n + 6n = 11n -15 + 11n = 8 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + 11n = 8 + 0 -15 + 11n = 8 Add '15' to each side of the equation. -15 + 15 + 11n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 11n = 8 + 15 11n = 8 + 15 Combine like terms: 8 + 15 = 23 11n = 23 Divide each side by '11'. n = 2.090909091 Simplifying n = 2.090909091
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