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Simplifying 7p + 9q + -5(7p + -5q + 5r) = 0 7p + 9q + (7p * -5 + -5q * -5 + 5r * -5) = 0 7p + 9q + (-35p + 25q + -25r) = 0 Reorder the terms: 7p + -35p + 9q + 25q + -25r = 0 Combine like terms: 7p + -35p = -28p -28p + 9q + 25q + -25r = 0 Combine like terms: 9q + 25q = 34q -28p + 34q + -25r = 0 Solving -28p + 34q + -25r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-34q' to each side of the equation. -28p + 34q + -34q + -25r = 0 + -34q Combine like terms: 34q + -34q = 0 -28p + 0 + -25r = 0 + -34q -28p + -25r = 0 + -34q Remove the zero: -28p + -25r = -34q Add '25r' to each side of the equation. -28p + -25r + 25r = -34q + 25r Combine like terms: -25r + 25r = 0 -28p + 0 = -34q + 25r -28p = -34q + 25r Divide each side by '-28'. p = 1.214285714q + -0.8928571429r Simplifying p = 1.214285714q + -0.8928571429r
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