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Simplifying 3(p + 13) = 7p Reorder the terms: 3(13 + p) = 7p (13 * 3 + p * 3) = 7p (39 + 3p) = 7p Solving 39 + 3p = 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. 39 + 3p + -7p = 7p + -7p Combine like terms: 3p + -7p = -4p 39 + -4p = 7p + -7p Combine like terms: 7p + -7p = 0 39 + -4p = 0 Add '-39' to each side of the equation. 39 + -39 + -4p = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -4p = 0 + -39 -4p = 0 + -39 Combine like terms: 0 + -39 = -39 -4p = -39 Divide each side by '-4'. p = 9.75 Simplifying p = 9.75
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