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Simplifying 12(5 + -9p) + -7p = -2p + -53 (5 * 12 + -9p * 12) + -7p = -2p + -53 (60 + -108p) + -7p = -2p + -53 Combine like terms: -108p + -7p = -115p 60 + -115p = -2p + -53 Reorder the terms: 60 + -115p = -53 + -2p Solving 60 + -115p = -53 + -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. 60 + -115p + 2p = -53 + -2p + 2p Combine like terms: -115p + 2p = -113p 60 + -113p = -53 + -2p + 2p Combine like terms: -2p + 2p = 0 60 + -113p = -53 + 0 60 + -113p = -53 Add '-60' to each side of the equation. 60 + -60 + -113p = -53 + -60 Combine like terms: 60 + -60 = 0 0 + -113p = -53 + -60 -113p = -53 + -60 Combine like terms: -53 + -60 = -113 -113p = -113 Divide each side by '-113'. p = 1 Simplifying p = 1
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