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Simplifying 3 + -4(2 + -3n) = 6n + 5 3 + (2 * -4 + -3n * -4) = 6n + 5 3 + (-8 + 12n) = 6n + 5 Combine like terms: 3 + -8 = -5 -5 + 12n = 6n + 5 Reorder the terms: -5 + 12n = 5 + 6n Solving -5 + 12n = 5 + 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. -5 + 12n + -6n = 5 + 6n + -6n Combine like terms: 12n + -6n = 6n -5 + 6n = 5 + 6n + -6n Combine like terms: 6n + -6n = 0 -5 + 6n = 5 + 0 -5 + 6n = 5 Add '5' to each side of the equation. -5 + 5 + 6n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 5 + 5 6n = 5 + 5 Combine like terms: 5 + 5 = 10 6n = 10 Divide each side by '6'. n = 1.666666667 Simplifying n = 1.666666667
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