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Simplifying -2(p + -8) = 4(p + -2) Reorder the terms: -2(-8 + p) = 4(p + -2) (-8 * -2 + p * -2) = 4(p + -2) (16 + -2p) = 4(p + -2) Reorder the terms: 16 + -2p = 4(-2 + p) 16 + -2p = (-2 * 4 + p * 4) 16 + -2p = (-8 + 4p) Solving 16 + -2p = -8 + 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. 16 + -2p + -4p = -8 + 4p + -4p Combine like terms: -2p + -4p = -6p 16 + -6p = -8 + 4p + -4p Combine like terms: 4p + -4p = 0 16 + -6p = -8 + 0 16 + -6p = -8 Add '-16' to each side of the equation. 16 + -16 + -6p = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -6p = -8 + -16 -6p = -8 + -16 Combine like terms: -8 + -16 = -24 -6p = -24 Divide each side by '-6'. p = 4 Simplifying p = 4
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