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Simplifying -4(2p + 4) + -40 = 2(4p + 4) Reorder the terms: -4(4 + 2p) + -40 = 2(4p + 4) (4 * -4 + 2p * -4) + -40 = 2(4p + 4) (-16 + -8p) + -40 = 2(4p + 4) Reorder the terms: -16 + -40 + -8p = 2(4p + 4) Combine like terms: -16 + -40 = -56 -56 + -8p = 2(4p + 4) Reorder the terms: -56 + -8p = 2(4 + 4p) -56 + -8p = (4 * 2 + 4p * 2) -56 + -8p = (8 + 8p) Solving -56 + -8p = 8 + 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. -56 + -8p + -8p = 8 + 8p + -8p Combine like terms: -8p + -8p = -16p -56 + -16p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 -56 + -16p = 8 + 0 -56 + -16p = 8 Add '56' to each side of the equation. -56 + 56 + -16p = 8 + 56 Combine like terms: -56 + 56 = 0 0 + -16p = 8 + 56 -16p = 8 + 56 Combine like terms: 8 + 56 = 64 -16p = 64 Divide each side by '-16'. p = -4 Simplifying p = -4
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