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Simplifying 8(8 + 5p) = 8(2 + 6p) (8 * 8 + 5p * 8) = 8(2 + 6p) (64 + 40p) = 8(2 + 6p) 64 + 40p = (2 * 8 + 6p * 8) 64 + 40p = (16 + 48p) Solving 64 + 40p = 16 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. 64 + 40p + -48p = 16 + 48p + -48p Combine like terms: 40p + -48p = -8p 64 + -8p = 16 + 48p + -48p Combine like terms: 48p + -48p = 0 64 + -8p = 16 + 0 64 + -8p = 16 Add '-64' to each side of the equation. 64 + -64 + -8p = 16 + -64 Combine like terms: 64 + -64 = 0 0 + -8p = 16 + -64 -8p = 16 + -64 Combine like terms: 16 + -64 = -48 -8p = -48 Divide each side by '-8'. p = 6 Simplifying p = 6
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