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Simplifying 8(4 + 5p) = 32 + 7p (4 * 8 + 5p * 8) = 32 + 7p (32 + 40p) = 32 + 7p Add '-32' to each side of the equation. 32 + -32 + 40p = 32 + -32 + 7p Combine like terms: 32 + -32 = 0 0 + 40p = 32 + -32 + 7p 40p = 32 + -32 + 7p Combine like terms: 32 + -32 = 0 40p = 0 + 7p 40p = 7p Solving 40p = 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. 40p + -7p = 7p + -7p Combine like terms: 40p + -7p = 33p 33p = 7p + -7p Combine like terms: 7p + -7p = 0 33p = 0 Divide each side by '33'. p = 0 Simplifying p = 0
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