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Simplifying -8(-5 + 4p) = 5 + 3p (-5 * -8 + 4p * -8) = 5 + 3p (40 + -32p) = 5 + 3p Solving 40 + -32p = 5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 40 + -32p + -3p = 5 + 3p + -3p Combine like terms: -32p + -3p = -35p 40 + -35p = 5 + 3p + -3p Combine like terms: 3p + -3p = 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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