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Simplifying 7(p + 1) = 39 + -1p Reorder the terms: 7(1 + p) = 39 + -1p (1 * 7 + p * 7) = 39 + -1p (7 + 7p) = 39 + -1p Solving 7 + 7p = 39 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 7 + 7p + p = 39 + -1p + p Combine like terms: 7p + p = 8p 7 + 8p = 39 + -1p + p Combine like terms: -1p + p = 0 7 + 8p = 39 + 0 7 + 8p = 39 Add '-7' to each side of the equation. 7 + -7 + 8p = 39 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 39 + -7 8p = 39 + -7 Combine like terms: 39 + -7 = 32 8p = 32 Divide each side by '8'. p = 4 Simplifying p = 4
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