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Simplifying 2p + 7q + -5(5p + -5q) = 0 2p + 7q + (5p * -5 + -5q * -5) = 0 2p + 7q + (-25p + 25q) = 0 Reorder the terms: 2p + -25p + 7q + 25q = 0 Combine like terms: 2p + -25p = -23p -23p + 7q + 25q = 0 Combine like terms: 7q + 25q = 32q -23p + 32q = 0 Solving -23p + 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. -23p + 32q + -32q = 0 + -32q Combine like terms: 32q + -32q = 0 -23p + 0 = 0 + -32q -23p = 0 + -32q Remove the zero: -23p = -32q Divide each side by '-23'. p = 1.391304348q Simplifying p = 1.391304348q
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