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Simplifying -4(2 + 8p) = 2p + 26 (2 * -4 + 8p * -4) = 2p + 26 (-8 + -32p) = 2p + 26 Reorder the terms: -8 + -32p = 26 + 2p Solving -8 + -32p = 26 + 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 + -32p + -2p = 26 + 2p + -2p Combine like terms: -32p + -2p = -34p -8 + -34p = 26 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + -34p = 26 + 0 -8 + -34p = 26 Add '8' to each side of the equation. -8 + 8 + -34p = 26 + 8 Combine like terms: -8 + 8 = 0 0 + -34p = 26 + 8 -34p = 26 + 8 Combine like terms: 26 + 8 = 34 -34p = 34 Divide each side by '-34'. p = -1 Simplifying p = -1
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