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Simplifying 6n + -4 + -3n = 2n + 9 + 4n + -20 Reorder the terms: -4 + 6n + -3n = 2n + 9 + 4n + -20 Combine like terms: 6n + -3n = 3n -4 + 3n = 2n + 9 + 4n + -20 Reorder the terms: -4 + 3n = 9 + -20 + 2n + 4n Combine like terms: 9 + -20 = -11 -4 + 3n = -11 + 2n + 4n Combine like terms: 2n + 4n = 6n -4 + 3n = -11 + 6n Solving -4 + 3n = -11 + 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. -4 + 3n + -6n = -11 + 6n + -6n Combine like terms: 3n + -6n = -3n -4 + -3n = -11 + 6n + -6n Combine like terms: 6n + -6n = 0 -4 + -3n = -11 + 0 -4 + -3n = -11 Add '4' to each side of the equation. -4 + 4 + -3n = -11 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = -11 + 4 -3n = -11 + 4 Combine like terms: -11 + 4 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333
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