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Simplifying 304 = 8p + 4(6 + 8p) 304 = 8p + (6 * 4 + 8p * 4) 304 = 8p + (24 + 32p) Reorder the terms: 304 = 24 + 8p + 32p Combine like terms: 8p + 32p = 40p 304 = 24 + 40p Solving 304 = 24 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 304 + -40p = 24 + 40p + -40p Combine like terms: 40p + -40p = 0 304 + -40p = 24 + 0 304 + -40p = 24 Add '-304' to each side of the equation. 304 + -304 + -40p = 24 + -304 Combine like terms: 304 + -304 = 0 0 + -40p = 24 + -304 -40p = 24 + -304 Combine like terms: 24 + -304 = -280 -40p = -280 Divide each side by '-40'. p = 7 Simplifying p = 7
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