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Simplifying 11n + 3 + -14n = 4n + 6 + -6n Reorder the terms: 3 + 11n + -14n = 4n + 6 + -6n Combine like terms: 11n + -14n = -3n 3 + -3n = 4n + 6 + -6n Reorder the terms: 3 + -3n = 6 + 4n + -6n Combine like terms: 4n + -6n = -2n 3 + -3n = 6 + -2n Solving 3 + -3n = 6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 3 + -3n + 2n = 6 + -2n + 2n Combine like terms: -3n + 2n = -1n 3 + -1n = 6 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + -1n = 6 + 0 3 + -1n = 6 Add '-3' to each side of the equation. 3 + -3 + -1n = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 6 + -3 -1n = 6 + -3 Combine like terms: 6 + -3 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3
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