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Simplifying 4(2 + 5p) = -4(1 + -4p) (2 * 4 + 5p * 4) = -4(1 + -4p) (8 + 20p) = -4(1 + -4p) 8 + 20p = (1 * -4 + -4p * -4) 8 + 20p = (-4 + 16p) Solving 8 + 20p = -4 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 8 + 20p + -16p = -4 + 16p + -16p Combine like terms: 20p + -16p = 4p 8 + 4p = -4 + 16p + -16p Combine like terms: 16p + -16p = 0 8 + 4p = -4 + 0 8 + 4p = -4 Add '-8' to each side of the equation. 8 + -8 + 4p = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = -4 + -8 4p = -4 + -8 Combine like terms: -4 + -8 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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