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Simplifying -8(1 + -4p) = 40 + 8p (1 * -8 + -4p * -8) = 40 + 8p (-8 + 32p) = 40 + 8p Solving -8 + 32p = 40 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -8 + 32p + -8p = 40 + 8p + -8p Combine like terms: 32p + -8p = 24p -8 + 24p = 40 + 8p + -8p Combine like terms: 8p + -8p = 0 -8 + 24p = 40 + 0 -8 + 24p = 40 Add '8' to each side of the equation. -8 + 8 + 24p = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 24p = 40 + 8 24p = 40 + 8 Combine like terms: 40 + 8 = 48 24p = 48 Divide each side by '24'. p = 2 Simplifying p = 2
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