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Simplifying 2(-2p + 4) = 2(p + 10) Reorder the terms: 2(4 + -2p) = 2(p + 10) (4 * 2 + -2p * 2) = 2(p + 10) (8 + -4p) = 2(p + 10) Reorder the terms: 8 + -4p = 2(10 + p) 8 + -4p = (10 * 2 + p * 2) 8 + -4p = (20 + 2p) Solving 8 + -4p = 20 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 8 + -4p + -2p = 20 + 2p + -2p Combine like terms: -4p + -2p = -6p 8 + -6p = 20 + 2p + -2p Combine like terms: 2p + -2p = 0 8 + -6p = 20 + 0 8 + -6p = 20 Add '-8' to each side of the equation. 8 + -8 + -6p = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -6p = 20 + -8 -6p = 20 + -8 Combine like terms: 20 + -8 = 12 -6p = 12 Divide each side by '-6'. p = -2 Simplifying p = -2
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