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Simplifying 80 = 7(8 + -8n) + -3(n + -8) 80 = (8 * 7 + -8n * 7) + -3(n + -8) 80 = (56 + -56n) + -3(n + -8) Reorder the terms: 80 = 56 + -56n + -3(-8 + n) 80 = 56 + -56n + (-8 * -3 + n * -3) 80 = 56 + -56n + (24 + -3n) Reorder the terms: 80 = 56 + 24 + -56n + -3n Combine like terms: 56 + 24 = 80 80 = 80 + -56n + -3n Combine like terms: -56n + -3n = -59n 80 = 80 + -59n Add '-80' to each side of the equation. 80 + -80 = 80 + -80 + -59n Combine like terms: 80 + -80 = 0 0 = 80 + -80 + -59n Combine like terms: 80 + -80 = 0 0 = 0 + -59n 0 = -59n Solving 0 = -59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '59n' to each side of the equation. 0 + 59n = -59n + 59n Remove the zero: 59n = -59n + 59n Combine like terms: -59n + 59n = 0 59n = 0 Divide each side by '59'. n = 0 Simplifying n = 0
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