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Simplifying 3 + -5(3 + -4n) = 40 + 6n 3 + (3 * -5 + -4n * -5) = 40 + 6n 3 + (-15 + 20n) = 40 + 6n Combine like terms: 3 + -15 = -12 -12 + 20n = 40 + 6n Solving -12 + 20n = 40 + 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. -12 + 20n + -6n = 40 + 6n + -6n Combine like terms: 20n + -6n = 14n -12 + 14n = 40 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 14n = 40 + 0 -12 + 14n = 40 Add '12' to each side of the equation. -12 + 12 + 14n = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 14n = 40 + 12 14n = 40 + 12 Combine like terms: 40 + 12 = 52 14n = 52 Divide each side by '14'. n = 3.714285714 Simplifying n = 3.714285714
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