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Simplifying 5p = 8(4p + 5) Reorder the terms: 5p = 8(5 + 4p) 5p = (5 * 8 + 4p * 8) 5p = (40 + 32p) Solving 5p = 40 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 5p + -32p = 40 + 32p + -32p Combine like terms: 5p + -32p = -27p -27p = 40 + 32p + -32p Combine like terms: 32p + -32p = 0 -27p = 40 + 0 -27p = 40 Divide each side by '-27'. p = -1.481481481 Simplifying p = -1.481481481
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