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Simplifying 9q + 2 + -2(3p + 8) = 5p Reorder the terms: 9q + 2 + -2(8 + 3p) = 5p 9q + 2 + (8 * -2 + 3p * -2) = 5p 9q + 2 + (-16 + -6p) = 5p Reorder the terms: 2 + -16 + -6p + 9q = 5p Combine like terms: 2 + -16 = -14 -14 + -6p + 9q = 5p Solving -14 + -6p + 9q = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -14 + -6p + -5p + 9q = 5p + -5p Combine like terms: -6p + -5p = -11p -14 + -11p + 9q = 5p + -5p Combine like terms: 5p + -5p = 0 -14 + -11p + 9q = 0 Add '14' to each side of the equation. -14 + -11p + 14 + 9q = 0 + 14 Reorder the terms: -14 + 14 + -11p + 9q = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -11p + 9q = 0 + 14 -11p + 9q = 0 + 14 Combine like terms: 0 + 14 = 14 -11p + 9q = 14 Add '-9q' to each side of the equation. -11p + 9q + -9q = 14 + -9q Combine like terms: 9q + -9q = 0 -11p + 0 = 14 + -9q -11p = 14 + -9q Divide each side by '-11'. p = -1.272727273 + 0.8181818182q Simplifying p = -1.272727273 + 0.8181818182q
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