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Simplifying 2(1 + 5p) = -22 + -2p (1 * 2 + 5p * 2) = -22 + -2p (2 + 10p) = -22 + -2p Solving 2 + 10p = -22 + -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. 2 + 10p + 2p = -22 + -2p + 2p Combine like terms: 10p + 2p = 12p 2 + 12p = -22 + -2p + 2p Combine like terms: -2p + 2p = 0 2 + 12p = -22 + 0 2 + 12p = -22 Add '-2' to each side of the equation. 2 + -2 + 12p = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 12p = -22 + -2 12p = -22 + -2 Combine like terms: -22 + -2 = -24 12p = -24 Divide each side by '12'. p = -2 Simplifying p = -2
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