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Simplifying 9(p + 7) + -6 = 9 + -2(p + 9) Reorder the terms: 9(7 + p) + -6 = 9 + -2(p + 9) (7 * 9 + p * 9) + -6 = 9 + -2(p + 9) (63 + 9p) + -6 = 9 + -2(p + 9) Reorder the terms: 63 + -6 + 9p = 9 + -2(p + 9) Combine like terms: 63 + -6 = 57 57 + 9p = 9 + -2(p + 9) Reorder the terms: 57 + 9p = 9 + -2(9 + p) 57 + 9p = 9 + (9 * -2 + p * -2) 57 + 9p = 9 + (-18 + -2p) Combine like terms: 9 + -18 = -9 57 + 9p = -9 + -2p Solving 57 + 9p = -9 + -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. 57 + 9p + 2p = -9 + -2p + 2p Combine like terms: 9p + 2p = 11p 57 + 11p = -9 + -2p + 2p Combine like terms: -2p + 2p = 0 57 + 11p = -9 + 0 57 + 11p = -9 Add '-57' to each side of the equation. 57 + -57 + 11p = -9 + -57 Combine like terms: 57 + -57 = 0 0 + 11p = -9 + -57 11p = -9 + -57 Combine like terms: -9 + -57 = -66 11p = -66 Divide each side by '11'. p = -6 Simplifying p = -6
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