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Simplifying 27 + 8p = -3p + 7(3 + 2p) 27 + 8p = -3p + (3 * 7 + 2p * 7) 27 + 8p = -3p + (21 + 14p) Reorder the terms: 27 + 8p = 21 + -3p + 14p Combine like terms: -3p + 14p = 11p 27 + 8p = 21 + 11p Solving 27 + 8p = 21 + 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. 27 + 8p + -11p = 21 + 11p + -11p Combine like terms: 8p + -11p = -3p 27 + -3p = 21 + 11p + -11p Combine like terms: 11p + -11p = 0 27 + -3p = 21 + 0 27 + -3p = 21 Add '-27' to each side of the equation. 27 + -27 + -3p = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -3p = 21 + -27 -3p = 21 + -27 Combine like terms: 21 + -27 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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