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Simplifying -2(1 + 2p) = 22 + -8p (1 * -2 + 2p * -2) = 22 + -8p (-2 + -4p) = 22 + -8p Solving -2 + -4p = 22 + -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. -2 + -4p + 8p = 22 + -8p + 8p Combine like terms: -4p + 8p = 4p -2 + 4p = 22 + -8p + 8p Combine like terms: -8p + 8p = 0 -2 + 4p = 22 + 0 -2 + 4p = 22 Add '2' to each side of the equation. -2 + 2 + 4p = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 22 + 2 4p = 22 + 2 Combine like terms: 22 + 2 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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