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Simplifying 3(2p + 7) = 17(p + -4) Reorder the terms: 3(7 + 2p) = 17(p + -4) (7 * 3 + 2p * 3) = 17(p + -4) (21 + 6p) = 17(p + -4) Reorder the terms: 21 + 6p = 17(-4 + p) 21 + 6p = (-4 * 17 + p * 17) 21 + 6p = (-68 + 17p) Solving 21 + 6p = -68 + 17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17p' to each side of the equation. 21 + 6p + -17p = -68 + 17p + -17p Combine like terms: 6p + -17p = -11p 21 + -11p = -68 + 17p + -17p Combine like terms: 17p + -17p = 0 21 + -11p = -68 + 0 21 + -11p = -68 Add '-21' to each side of the equation. 21 + -21 + -11p = -68 + -21 Combine like terms: 21 + -21 = 0 0 + -11p = -68 + -21 -11p = -68 + -21 Combine like terms: -68 + -21 = -89 -11p = -89 Divide each side by '-11'. p = 8.090909091 Simplifying p = 8.090909091
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