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Simplifying 2p + 5q + -8(2p + -8q + 9r) = 0 2p + 5q + (2p * -8 + -8q * -8 + 9r * -8) = 0 2p + 5q + (-16p + 64q + -72r) = 0 Reorder the terms: 2p + -16p + 5q + 64q + -72r = 0 Combine like terms: 2p + -16p = -14p -14p + 5q + 64q + -72r = 0 Combine like terms: 5q + 64q = 69q -14p + 69q + -72r = 0 Solving -14p + 69q + -72r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-69q' to each side of the equation. -14p + 69q + -69q + -72r = 0 + -69q Combine like terms: 69q + -69q = 0 -14p + 0 + -72r = 0 + -69q -14p + -72r = 0 + -69q Remove the zero: -14p + -72r = -69q Add '72r' to each side of the equation. -14p + -72r + 72r = -69q + 72r Combine like terms: -72r + 72r = 0 -14p + 0 = -69q + 72r -14p = -69q + 72r Divide each side by '-14'. p = 4.928571429q + -5.142857143r Simplifying p = 4.928571429q + -5.142857143r
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