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Simplifying -4(4p + 4) + -48 = 2(2p + 8) Reorder the terms: -4(4 + 4p) + -48 = 2(2p + 8) (4 * -4 + 4p * -4) + -48 = 2(2p + 8) (-16 + -16p) + -48 = 2(2p + 8) Reorder the terms: -16 + -48 + -16p = 2(2p + 8) Combine like terms: -16 + -48 = -64 -64 + -16p = 2(2p + 8) Reorder the terms: -64 + -16p = 2(8 + 2p) -64 + -16p = (8 * 2 + 2p * 2) -64 + -16p = (16 + 4p) Solving -64 + -16p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -64 + -16p + -4p = 16 + 4p + -4p Combine like terms: -16p + -4p = -20p -64 + -20p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -64 + -20p = 16 + 0 -64 + -20p = 16 Add '64' to each side of the equation. -64 + 64 + -20p = 16 + 64 Combine like terms: -64 + 64 = 0 0 + -20p = 16 + 64 -20p = 16 + 64 Combine like terms: 16 + 64 = 80 -20p = 80 Divide each side by '-20'. p = -4 Simplifying p = -4
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