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Simplifying 6p + 6q + -8(6p + -5q) = 0 6p + 6q + (6p * -8 + -5q * -8) = 0 6p + 6q + (-48p + 40q) = 0 Reorder the terms: 6p + -48p + 6q + 40q = 0 Combine like terms: 6p + -48p = -42p -42p + 6q + 40q = 0 Combine like terms: 6q + 40q = 46q -42p + 46q = 0 Solving -42p + 46q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46q' to each side of the equation. -42p + 46q + -46q = 0 + -46q Combine like terms: 46q + -46q = 0 -42p + 0 = 0 + -46q -42p = 0 + -46q Remove the zero: -42p = -46q Divide each side by '-42'. p = 1.095238095q Simplifying p = 1.095238095q
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