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Simplifying 3p + 8q + -7(8p + -5q) = 0 3p + 8q + (8p * -7 + -5q * -7) = 0 3p + 8q + (-56p + 35q) = 0 Reorder the terms: 3p + -56p + 8q + 35q = 0 Combine like terms: 3p + -56p = -53p -53p + 8q + 35q = 0 Combine like terms: 8q + 35q = 43q -53p + 43q = 0 Solving -53p + 43q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-43q' to each side of the equation. -53p + 43q + -43q = 0 + -43q Combine like terms: 43q + -43q = 0 -53p + 0 = 0 + -43q -53p = 0 + -43q Remove the zero: -53p = -43q Divide each side by '-53'. p = 0.8113207547q Simplifying p = 0.8113207547q
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