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Simplifying 4p + 6q + -5(4p + -9q + 6r) = 0 4p + 6q + (4p * -5 + -9q * -5 + 6r * -5) = 0 4p + 6q + (-20p + 45q + -30r) = 0 Reorder the terms: 4p + -20p + 6q + 45q + -30r = 0 Combine like terms: 4p + -20p = -16p -16p + 6q + 45q + -30r = 0 Combine like terms: 6q + 45q = 51q -16p + 51q + -30r = 0 Solving -16p + 51q + -30r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-51q' to each side of the equation. -16p + 51q + -51q + -30r = 0 + -51q Combine like terms: 51q + -51q = 0 -16p + 0 + -30r = 0 + -51q -16p + -30r = 0 + -51q Remove the zero: -16p + -30r = -51q Add '30r' to each side of the equation. -16p + -30r + 30r = -51q + 30r Combine like terms: -30r + 30r = 0 -16p + 0 = -51q + 30r -16p = -51q + 30r Divide each side by '-16'. p = 3.1875q + -1.875r Simplifying p = 3.1875q + -1.875r
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