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Simplifying 3(2p + 7) = 82 + x Reorder the terms: 3(7 + 2p) = 82 + x (7 * 3 + 2p * 3) = 82 + x (21 + 6p) = 82 + x Solving 21 + 6p = 82 + x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 6p = 82 + -21 + x Combine like terms: 21 + -21 = 0 0 + 6p = 82 + -21 + x 6p = 82 + -21 + x Combine like terms: 82 + -21 = 61 6p = 61 + x Divide each side by '6'. p = 10.16666667 + 0.1666666667x Simplifying p = 10.16666667 + 0.1666666667x
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