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Simplifying 4n + -5 + 3 + -9 = 6n + 3 + -6 Reorder the terms: -5 + 3 + -9 + 4n = 6n + 3 + -6 Combine like terms: -5 + 3 = -2 -2 + -9 + 4n = 6n + 3 + -6 Combine like terms: -2 + -9 = -11 -11 + 4n = 6n + 3 + -6 Reorder the terms: -11 + 4n = 3 + -6 + 6n Combine like terms: 3 + -6 = -3 -11 + 4n = -3 + 6n Solving -11 + 4n = -3 + 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. -11 + 4n + -6n = -3 + 6n + -6n Combine like terms: 4n + -6n = -2n -11 + -2n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 -11 + -2n = -3 + 0 -11 + -2n = -3 Add '11' to each side of the equation. -11 + 11 + -2n = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -2n = -3 + 11 -2n = -3 + 11 Combine like terms: -3 + 11 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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