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Simplifying -4(8p + 8) = -2(6p + -8) + -4p Reorder the terms: -4(8 + 8p) = -2(6p + -8) + -4p (8 * -4 + 8p * -4) = -2(6p + -8) + -4p (-32 + -32p) = -2(6p + -8) + -4p Reorder the terms: -32 + -32p = -2(-8 + 6p) + -4p -32 + -32p = (-8 * -2 + 6p * -2) + -4p -32 + -32p = (16 + -12p) + -4p Combine like terms: -12p + -4p = -16p -32 + -32p = 16 + -16p Solving -32 + -32p = 16 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -32 + -32p + 16p = 16 + -16p + 16p Combine like terms: -32p + 16p = -16p -32 + -16p = 16 + -16p + 16p Combine like terms: -16p + 16p = 0 -32 + -16p = 16 + 0 -32 + -16p = 16 Add '32' to each side of the equation. -32 + 32 + -16p = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -16p = 16 + 32 -16p = 16 + 32 Combine like terms: 16 + 32 = 48 -16p = 48 Divide each side by '-16'. p = -3 Simplifying p = -3
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