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Simplifying 6(2p + 3) = 5 + 11p Reorder the terms: 6(3 + 2p) = 5 + 11p (3 * 6 + 2p * 6) = 5 + 11p (18 + 12p) = 5 + 11p Solving 18 + 12p = 5 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 18 + 12p + -11p = 5 + 11p + -11p Combine like terms: 12p + -11p = 1p 18 + 1p = 5 + 11p + -11p Combine like terms: 11p + -11p = 0 18 + 1p = 5 + 0 18 + 1p = 5 Add '-18' to each side of the equation. 18 + -18 + 1p = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1p = 5 + -18 1p = 5 + -18 Combine like terms: 5 + -18 = -13 1p = -13 Divide each side by '1'. p = -13 Simplifying p = -13
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