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Simplifying -80 = -2(7 + -5n) + -7(1 + -7n) -80 = (7 * -2 + -5n * -2) + -7(1 + -7n) -80 = (-14 + 10n) + -7(1 + -7n) -80 = -14 + 10n + (1 * -7 + -7n * -7) -80 = -14 + 10n + (-7 + 49n) Reorder the terms: -80 = -14 + -7 + 10n + 49n Combine like terms: -14 + -7 = -21 -80 = -21 + 10n + 49n Combine like terms: 10n + 49n = 59n -80 = -21 + 59n Solving -80 = -21 + 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. -80 + -59n = -21 + 59n + -59n Combine like terms: 59n + -59n = 0 -80 + -59n = -21 + 0 -80 + -59n = -21 Add '80' to each side of the equation. -80 + 80 + -59n = -21 + 80 Combine like terms: -80 + 80 = 0 0 + -59n = -21 + 80 -59n = -21 + 80 Combine like terms: -21 + 80 = 59 -59n = 59 Divide each side by '-59'. n = -1 Simplifying n = -1
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