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Simplifying 4(1 + 4p) = 31 + 7p (1 * 4 + 4p * 4) = 31 + 7p (4 + 16p) = 31 + 7p Solving 4 + 16p = 31 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 4 + 16p + -7p = 31 + 7p + -7p Combine like terms: 16p + -7p = 9p 4 + 9p = 31 + 7p + -7p Combine like terms: 7p + -7p = 0 4 + 9p = 31 + 0 4 + 9p = 31 Add '-4' to each side of the equation. 4 + -4 + 9p = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9p = 31 + -4 9p = 31 + -4 Combine like terms: 31 + -4 = 27 9p = 27 Divide each side by '9'. p = 3 Simplifying p = 3
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