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Simplifying 4(n + 9) + -4n = -9n + -6(-3n + -6) Reorder the terms: 4(9 + n) + -4n = -9n + -6(-3n + -6) (9 * 4 + n * 4) + -4n = -9n + -6(-3n + -6) (36 + 4n) + -4n = -9n + -6(-3n + -6) Combine like terms: 4n + -4n = 0 36 + 0 = -9n + -6(-3n + -6) 36 = -9n + -6(-3n + -6) Reorder the terms: 36 = -9n + -6(-6 + -3n) 36 = -9n + (-6 * -6 + -3n * -6) 36 = -9n + (36 + 18n) Reorder the terms: 36 = 36 + -9n + 18n Combine like terms: -9n + 18n = 9n 36 = 36 + 9n Add '-36' to each side of the equation. 36 + -36 = 36 + -36 + 9n Combine like terms: 36 + -36 = 0 0 = 36 + -36 + 9n Combine like terms: 36 + -36 = 0 0 = 0 + 9n 0 = 9n Solving 0 = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 0 + -9n = 9n + -9n Remove the zero: -9n = 9n + -9n Combine like terms: 9n + -9n = 0 -9n = 0 Divide each side by '-9'. n = 0 Simplifying n = 0
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