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Simplifying 91 = 8(p + 5) + -5 Reorder the terms: 91 = 8(5 + p) + -5 91 = (5 * 8 + p * 8) + -5 91 = (40 + 8p) + -5 Reorder the terms: 91 = 40 + -5 + 8p Combine like terms: 40 + -5 = 35 91 = 35 + 8p Solving 91 = 35 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 91 + -8p = 35 + 8p + -8p Combine like terms: 8p + -8p = 0 91 + -8p = 35 + 0 91 + -8p = 35 Add '-91' to each side of the equation. 91 + -91 + -8p = 35 + -91 Combine like terms: 91 + -91 = 0 0 + -8p = 35 + -91 -8p = 35 + -91 Combine like terms: 35 + -91 = -56 -8p = -56 Divide each side by '-8'. p = 7 Simplifying p = 7
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