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Simplifying 6 + 11p = 9(p + -2) + 30 Reorder the terms: 6 + 11p = 9(-2 + p) + 30 6 + 11p = (-2 * 9 + p * 9) + 30 6 + 11p = (-18 + 9p) + 30 Reorder the terms: 6 + 11p = -18 + 30 + 9p Combine like terms: -18 + 30 = 12 6 + 11p = 12 + 9p Solving 6 + 11p = 12 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 6 + 11p + -9p = 12 + 9p + -9p Combine like terms: 11p + -9p = 2p 6 + 2p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 6 + 2p = 12 + 0 6 + 2p = 12 Add '-6' to each side of the equation. 6 + -6 + 2p = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2p = 12 + -6 2p = 12 + -6 Combine like terms: 12 + -6 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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