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Simplifying 7(5 + 7p) = -12 + 2p (5 * 7 + 7p * 7) = -12 + 2p (35 + 49p) = -12 + 2p Solving 35 + 49p = -12 + 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. 35 + 49p + -2p = -12 + 2p + -2p Combine like terms: 49p + -2p = 47p 35 + 47p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 35 + 47p = -12 + 0 35 + 47p = -12 Add '-35' to each side of the equation. 35 + -35 + 47p = -12 + -35 Combine like terms: 35 + -35 = 0 0 + 47p = -12 + -35 47p = -12 + -35 Combine like terms: -12 + -35 = -47 47p = -47 Divide each side by '47'. p = -1 Simplifying p = -1
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