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Simplifying 5p + 6q + -4(8p + -4q) = 0 5p + 6q + (8p * -4 + -4q * -4) = 0 5p + 6q + (-32p + 16q) = 0 Reorder the terms: 5p + -32p + 6q + 16q = 0 Combine like terms: 5p + -32p = -27p -27p + 6q + 16q = 0 Combine like terms: 6q + 16q = 22q -27p + 22q = 0 Solving -27p + 22q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22q' to each side of the equation. -27p + 22q + -22q = 0 + -22q Combine like terms: 22q + -22q = 0 -27p + 0 = 0 + -22q -27p = 0 + -22q Remove the zero: -27p = -22q Divide each side by '-27'. p = 0.8148148148q Simplifying p = 0.8148148148q
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