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Simplifying -4(6p + -5) = -40 + -4p Reorder the terms: -4(-5 + 6p) = -40 + -4p (-5 * -4 + 6p * -4) = -40 + -4p (20 + -24p) = -40 + -4p Solving 20 + -24p = -40 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 20 + -24p + 4p = -40 + -4p + 4p Combine like terms: -24p + 4p = -20p 20 + -20p = -40 + -4p + 4p Combine like terms: -4p + 4p = 0 20 + -20p = -40 + 0 20 + -20p = -40 Add '-20' to each side of the equation. 20 + -20 + -20p = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -20p = -40 + -20 -20p = -40 + -20 Combine like terms: -40 + -20 = -60 -20p = -60 Divide each side by '-20'. p = 3 Simplifying p = 3
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