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Simplifying 2p + 8q + -8(2p + -5q + 2r) = 0 2p + 8q + (2p * -8 + -5q * -8 + 2r * -8) = 0 2p + 8q + (-16p + 40q + -16r) = 0 Reorder the terms: 2p + -16p + 8q + 40q + -16r = 0 Combine like terms: 2p + -16p = -14p -14p + 8q + 40q + -16r = 0 Combine like terms: 8q + 40q = 48q -14p + 48q + -16r = 0 Solving -14p + 48q + -16r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48q' to each side of the equation. -14p + 48q + -48q + -16r = 0 + -48q Combine like terms: 48q + -48q = 0 -14p + 0 + -16r = 0 + -48q -14p + -16r = 0 + -48q Remove the zero: -14p + -16r = -48q Add '16r' to each side of the equation. -14p + -16r + 16r = -48q + 16r Combine like terms: -16r + 16r = 0 -14p + 0 = -48q + 16r -14p = -48q + 16r Divide each side by '-14'. p = 3.428571429q + -1.142857143r Simplifying p = 3.428571429q + -1.142857143r
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