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Simplifying 8p + -24 = 8(1 + 5p) Reorder the terms: -24 + 8p = 8(1 + 5p) -24 + 8p = (1 * 8 + 5p * 8) -24 + 8p = (8 + 40p) Solving -24 + 8p = 8 + 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. -24 + 8p + -40p = 8 + 40p + -40p Combine like terms: 8p + -40p = -32p -24 + -32p = 8 + 40p + -40p Combine like terms: 40p + -40p = 0 -24 + -32p = 8 + 0 -24 + -32p = 8 Add '24' to each side of the equation. -24 + 24 + -32p = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -32p = 8 + 24 -32p = 8 + 24 Combine like terms: 8 + 24 = 32 -32p = 32 Divide each side by '-32'. p = -1 Simplifying p = -1
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