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Simplifying -22(5 + 10n) + 2 = -12(9 + -20n) + -32n (5 * -22 + 10n * -22) + 2 = -12(9 + -20n) + -32n (-110 + -220n) + 2 = -12(9 + -20n) + -32n Reorder the terms: -110 + 2 + -220n = -12(9 + -20n) + -32n Combine like terms: -110 + 2 = -108 -108 + -220n = -12(9 + -20n) + -32n -108 + -220n = (9 * -12 + -20n * -12) + -32n -108 + -220n = (-108 + 240n) + -32n Combine like terms: 240n + -32n = 208n -108 + -220n = -108 + 208n Add '108' to each side of the equation. -108 + 108 + -220n = -108 + 108 + 208n Combine like terms: -108 + 108 = 0 0 + -220n = -108 + 108 + 208n -220n = -108 + 108 + 208n Combine like terms: -108 + 108 = 0 -220n = 0 + 208n -220n = 208n Solving -220n = 208n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-208n' to each side of the equation. -220n + -208n = 208n + -208n Combine like terms: -220n + -208n = -428n -428n = 208n + -208n Combine like terms: 208n + -208n = 0 -428n = 0 Divide each side by '-428'. n = 0 Simplifying n = 0
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