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Simplifying 7(2p + 1) + -53 = 39 Reorder the terms: 7(1 + 2p) + -53 = 39 (1 * 7 + 2p * 7) + -53 = 39 (7 + 14p) + -53 = 39 Reorder the terms: 7 + -53 + 14p = 39 Combine like terms: 7 + -53 = -46 -46 + 14p = 39 Solving -46 + 14p = 39 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 14p = 39 + 46 Combine like terms: -46 + 46 = 0 0 + 14p = 39 + 46 14p = 39 + 46 Combine like terms: 39 + 46 = 85 14p = 85 Divide each side by '14'. p = 6.071428571 Simplifying p = 6.071428571
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