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Simplifying 8p + 9q + -5(8p + -3q + 4r) = 0 8p + 9q + (8p * -5 + -3q * -5 + 4r * -5) = 0 8p + 9q + (-40p + 15q + -20r) = 0 Reorder the terms: 8p + -40p + 9q + 15q + -20r = 0 Combine like terms: 8p + -40p = -32p -32p + 9q + 15q + -20r = 0 Combine like terms: 9q + 15q = 24q -32p + 24q + -20r = 0 Solving -32p + 24q + -20r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24q' to each side of the equation. -32p + 24q + -24q + -20r = 0 + -24q Combine like terms: 24q + -24q = 0 -32p + 0 + -20r = 0 + -24q -32p + -20r = 0 + -24q Remove the zero: -32p + -20r = -24q Add '20r' to each side of the equation. -32p + -20r + 20r = -24q + 20r Combine like terms: -20r + 20r = 0 -32p + 0 = -24q + 20r -32p = -24q + 20r Divide each side by '-32'. p = 0.75q + -0.625r Simplifying p = 0.75q + -0.625r
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