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Simplifying -4(p + 1) = 12(8 + -2p) Reorder the terms: -4(1 + p) = 12(8 + -2p) (1 * -4 + p * -4) = 12(8 + -2p) (-4 + -4p) = 12(8 + -2p) -4 + -4p = (8 * 12 + -2p * 12) -4 + -4p = (96 + -24p) Solving -4 + -4p = 96 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. -4 + -4p + 24p = 96 + -24p + 24p Combine like terms: -4p + 24p = 20p -4 + 20p = 96 + -24p + 24p Combine like terms: -24p + 24p = 0 -4 + 20p = 96 + 0 -4 + 20p = 96 Add '4' to each side of the equation. -4 + 4 + 20p = 96 + 4 Combine like terms: -4 + 4 = 0 0 + 20p = 96 + 4 20p = 96 + 4 Combine like terms: 96 + 4 = 100 20p = 100 Divide each side by '20'. p = 5 Simplifying p = 5
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