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Simplifying 8p + 6q + -7(8p + -2q + 4r) = 0 8p + 6q + (8p * -7 + -2q * -7 + 4r * -7) = 0 8p + 6q + (-56p + 14q + -28r) = 0 Reorder the terms: 8p + -56p + 6q + 14q + -28r = 0 Combine like terms: 8p + -56p = -48p -48p + 6q + 14q + -28r = 0 Combine like terms: 6q + 14q = 20q -48p + 20q + -28r = 0 Solving -48p + 20q + -28r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20q' to each side of the equation. -48p + 20q + -20q + -28r = 0 + -20q Combine like terms: 20q + -20q = 0 -48p + 0 + -28r = 0 + -20q -48p + -28r = 0 + -20q Remove the zero: -48p + -28r = -20q Add '28r' to each side of the equation. -48p + -28r + 28r = -20q + 28r Combine like terms: -28r + 28r = 0 -48p + 0 = -20q + 28r -48p = -20q + 28r Divide each side by '-48'. p = 0.4166666667q + -0.5833333333r Simplifying p = 0.4166666667q + -0.5833333333r
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