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Simplifying 80 = -7(-7n + -3) + -3(1 + 6n) Reorder the terms: 80 = -7(-3 + -7n) + -3(1 + 6n) 80 = (-3 * -7 + -7n * -7) + -3(1 + 6n) 80 = (21 + 49n) + -3(1 + 6n) 80 = 21 + 49n + (1 * -3 + 6n * -3) 80 = 21 + 49n + (-3 + -18n) Reorder the terms: 80 = 21 + -3 + 49n + -18n Combine like terms: 21 + -3 = 18 80 = 18 + 49n + -18n Combine like terms: 49n + -18n = 31n 80 = 18 + 31n Solving 80 = 18 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. 80 + -31n = 18 + 31n + -31n Combine like terms: 31n + -31n = 0 80 + -31n = 18 + 0 80 + -31n = 18 Add '-80' to each side of the equation. 80 + -80 + -31n = 18 + -80 Combine like terms: 80 + -80 = 0 0 + -31n = 18 + -80 -31n = 18 + -80 Combine like terms: 18 + -80 = -62 -31n = -62 Divide each side by '-31'. n = 2 Simplifying n = 2
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