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Simplifying 31 + 6p = 7(1 + 2p) 31 + 6p = (1 * 7 + 2p * 7) 31 + 6p = (7 + 14p) Solving 31 + 6p = 7 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 31 + 6p + -14p = 7 + 14p + -14p Combine like terms: 6p + -14p = -8p 31 + -8p = 7 + 14p + -14p Combine like terms: 14p + -14p = 0 31 + -8p = 7 + 0 31 + -8p = 7 Add '-31' to each side of the equation. 31 + -31 + -8p = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -8p = 7 + -31 -8p = 7 + -31 Combine like terms: 7 + -31 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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