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Simplifying 88 = 3 + 5(p + 2) + 10p Reorder the terms: 88 = 3 + 5(2 + p) + 10p 88 = 3 + (2 * 5 + p * 5) + 10p 88 = 3 + (10 + 5p) + 10p Combine like terms: 3 + 10 = 13 88 = 13 + 5p + 10p Combine like terms: 5p + 10p = 15p 88 = 13 + 15p Solving 88 = 13 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 88 + -15p = 13 + 15p + -15p Combine like terms: 15p + -15p = 0 88 + -15p = 13 + 0 88 + -15p = 13 Add '-88' to each side of the equation. 88 + -88 + -15p = 13 + -88 Combine like terms: 88 + -88 = 0 0 + -15p = 13 + -88 -15p = 13 + -88 Combine like terms: 13 + -88 = -75 -15p = -75 Divide each side by '-15'. p = 5 Simplifying p = 5
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