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Simplifying 8(4 + -1p + 1) = 32p + 8 Reorder the terms: 8(4 + 1 + -1p) = 32p + 8 Combine like terms: 4 + 1 = 5 8(5 + -1p) = 32p + 8 (5 * 8 + -1p * 8) = 32p + 8 (40 + -8p) = 32p + 8 Reorder the terms: 40 + -8p = 8 + 32p Solving 40 + -8p = 8 + 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. 40 + -8p + -32p = 8 + 32p + -32p Combine like terms: -8p + -32p = -40p 40 + -40p = 8 + 32p + -32p Combine like terms: 32p + -32p = 0 40 + -40p = 8 + 0 40 + -40p = 8 Add '-40' to each side of the equation. 40 + -40 + -40p = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -40p = 8 + -40 -40p = 8 + -40 Combine like terms: 8 + -40 = -32 -40p = -32 Divide each side by '-40'. p = 0.8 Simplifying p = 0.8
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