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Simplifying 31 + p = 3(1 + 5p) 31 + p = (1 * 3 + 5p * 3) 31 + p = (3 + 15p) Solving 31 + p = 3 + 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. 31 + p + -15p = 3 + 15p + -15p Combine like terms: p + -15p = -14p 31 + -14p = 3 + 15p + -15p Combine like terms: 15p + -15p = 0 31 + -14p = 3 + 0 31 + -14p = 3 Add '-31' to each side of the equation. 31 + -31 + -14p = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -14p = 3 + -31 -14p = 3 + -31 Combine like terms: 3 + -31 = -28 -14p = -28 Divide each side by '-14'. p = 2 Simplifying p = 2
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