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Simplifying -4(p + 1) = 2(8 + -4p) Reorder the terms: -4(1 + p) = 2(8 + -4p) (1 * -4 + p * -4) = 2(8 + -4p) (-4 + -4p) = 2(8 + -4p) -4 + -4p = (8 * 2 + -4p * 2) -4 + -4p = (16 + -8p) Solving -4 + -4p = 16 + -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. -4 + -4p + 8p = 16 + -8p + 8p Combine like terms: -4p + 8p = 4p -4 + 4p = 16 + -8p + 8p Combine like terms: -8p + 8p = 0 -4 + 4p = 16 + 0 -4 + 4p = 16 Add '4' to each side of the equation. -4 + 4 + 4p = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = 16 + 4 4p = 16 + 4 Combine like terms: 16 + 4 = 20 4p = 20 Divide each side by '4'. p = 5 Simplifying p = 5
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