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Simplifying 8(5 + 4p) = 3 + -5p (5 * 8 + 4p * 8) = 3 + -5p (40 + 32p) = 3 + -5p Solving 40 + 32p = 3 + -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 + 32p + 5p = 3 + -5p + 5p Combine like terms: 32p + 5p = 37p 40 + 37p = 3 + -5p + 5p Combine like terms: -5p + 5p = 0 40 + 37p = 3 + 0 40 + 37p = 3 Add '-40' to each side of the equation. 40 + -40 + 37p = 3 + -40 Combine like terms: 40 + -40 = 0 0 + 37p = 3 + -40 37p = 3 + -40 Combine like terms: 3 + -40 = -37 37p = -37 Divide each side by '37'. p = -1 Simplifying p = -1
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