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Simplifying 2 = -2(2 + -1n) + 3(2 + 3n) 2 = (2 * -2 + -1n * -2) + 3(2 + 3n) 2 = (-4 + 2n) + 3(2 + 3n) 2 = -4 + 2n + (2 * 3 + 3n * 3) 2 = -4 + 2n + (6 + 9n) Reorder the terms: 2 = -4 + 6 + 2n + 9n Combine like terms: -4 + 6 = 2 2 = 2 + 2n + 9n Combine like terms: 2n + 9n = 11n 2 = 2 + 11n Add '-2' to each side of the equation. 2 + -2 = 2 + -2 + 11n Combine like terms: 2 + -2 = 0 0 = 2 + -2 + 11n Combine like terms: 2 + -2 = 0 0 = 0 + 11n 0 = 11n Solving 0 = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 0 + -11n = 11n + -11n Remove the zero: -11n = 11n + -11n Combine like terms: 11n + -11n = 0 -11n = 0 Divide each side by '-11'. n = 0 Simplifying n = 0
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