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Simplifying 7(4p + 13) + 3p = 308 Reorder the terms: 7(13 + 4p) + 3p = 308 (13 * 7 + 4p * 7) + 3p = 308 (91 + 28p) + 3p = 308 Combine like terms: 28p + 3p = 31p 91 + 31p = 308 Solving 91 + 31p = 308 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 31p = 308 + -91 Combine like terms: 91 + -91 = 0 0 + 31p = 308 + -91 31p = 308 + -91 Combine like terms: 308 + -91 = 217 31p = 217 Divide each side by '31'. p = 7 Simplifying p = 7
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