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Simplifying 91 = 4(1 + n) + 7(1 + -4n) 91 = (1 * 4 + n * 4) + 7(1 + -4n) 91 = (4 + 4n) + 7(1 + -4n) 91 = 4 + 4n + (1 * 7 + -4n * 7) 91 = 4 + 4n + (7 + -28n) Reorder the terms: 91 = 4 + 7 + 4n + -28n Combine like terms: 4 + 7 = 11 91 = 11 + 4n + -28n Combine like terms: 4n + -28n = -24n 91 = 11 + -24n Solving 91 = 11 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 91 + 24n = 11 + -24n + 24n Combine like terms: -24n + 24n = 0 91 + 24n = 11 + 0 91 + 24n = 11 Add '-91' to each side of the equation. 91 + -91 + 24n = 11 + -91 Combine like terms: 91 + -91 = 0 0 + 24n = 11 + -91 24n = 11 + -91 Combine like terms: 11 + -91 = -80 24n = -80 Divide each side by '24'. n = -3.333333333 Simplifying n = -3.333333333
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