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Simplifying 8(5p + 5) = 5 + 5p Reorder the terms: 8(5 + 5p) = 5 + 5p (5 * 8 + 5p * 8) = 5 + 5p (40 + 40p) = 5 + 5p Solving 40 + 40p = 5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 40 + 40p + -5p = 5 + 5p + -5p Combine like terms: 40p + -5p = 35p 40 + 35p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 40 + 35p = 5 + 0 40 + 35p = 5 Add '-40' to each side of the equation. 40 + -40 + 35p = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 35p = 5 + -40 35p = 5 + -40 Combine like terms: 5 + -40 = -35 35p = -35 Divide each side by '35'. p = -1 Simplifying p = -1
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