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Simplifying 2p + 8q + -8(2p + -3q) = 0 2p + 8q + (2p * -8 + -3q * -8) = 0 2p + 8q + (-16p + 24q) = 0 Reorder the terms: 2p + -16p + 8q + 24q = 0 Combine like terms: 2p + -16p = -14p -14p + 8q + 24q = 0 Combine like terms: 8q + 24q = 32q -14p + 32q = 0 Solving -14p + 32q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32q' to each side of the equation. -14p + 32q + -32q = 0 + -32q Combine like terms: 32q + -32q = 0 -14p + 0 = 0 + -32q -14p = 0 + -32q Remove the zero: -14p = -32q Divide each side by '-14'. p = 2.285714286q Simplifying p = 2.285714286q
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