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Simplifying -4(2p + 2) + -8 = 2(4p + 8) Reorder the terms: -4(2 + 2p) + -8 = 2(4p + 8) (2 * -4 + 2p * -4) + -8 = 2(4p + 8) (-8 + -8p) + -8 = 2(4p + 8) Reorder the terms: -8 + -8 + -8p = 2(4p + 8) Combine like terms: -8 + -8 = -16 -16 + -8p = 2(4p + 8) Reorder the terms: -16 + -8p = 2(8 + 4p) -16 + -8p = (8 * 2 + 4p * 2) -16 + -8p = (16 + 8p) Solving -16 + -8p = 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. -16 + -8p + -8p = 16 + 8p + -8p Combine like terms: -8p + -8p = -16p -16 + -16p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -16 + -16p = 16 + 0 -16 + -16p = 16 Add '16' to each side of the equation. -16 + 16 + -16p = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -16p = 16 + 16 -16p = 16 + 16 Combine like terms: 16 + 16 = 32 -16p = 32 Divide each side by '-16'. p = -2 Simplifying p = -2
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