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Simplifying -4(p + 1) = 2(8 + -3p) Reorder the terms: -4(1 + p) = 2(8 + -3p) (1 * -4 + p * -4) = 2(8 + -3p) (-4 + -4p) = 2(8 + -3p) -4 + -4p = (8 * 2 + -3p * 2) -4 + -4p = (16 + -6p) Solving -4 + -4p = 16 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -4 + -4p + 6p = 16 + -6p + 6p Combine like terms: -4p + 6p = 2p -4 + 2p = 16 + -6p + 6p Combine like terms: -6p + 6p = 0 -4 + 2p = 16 + 0 -4 + 2p = 16 Add '4' to each side of the equation. -4 + 4 + 2p = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = 16 + 4 2p = 16 + 4 Combine like terms: 16 + 4 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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