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Simplifying 2p + 7q + -6(2p + -9q + 2r) = 0 2p + 7q + (2p * -6 + -9q * -6 + 2r * -6) = 0 2p + 7q + (-12p + 54q + -12r) = 0 Reorder the terms: 2p + -12p + 7q + 54q + -12r = 0 Combine like terms: 2p + -12p = -10p -10p + 7q + 54q + -12r = 0 Combine like terms: 7q + 54q = 61q -10p + 61q + -12r = 0 Solving -10p + 61q + -12r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-61q' to each side of the equation. -10p + 61q + -61q + -12r = 0 + -61q Combine like terms: 61q + -61q = 0 -10p + 0 + -12r = 0 + -61q -10p + -12r = 0 + -61q Remove the zero: -10p + -12r = -61q Add '12r' to each side of the equation. -10p + -12r + 12r = -61q + 12r Combine like terms: -12r + 12r = 0 -10p + 0 = -61q + 12r -10p = -61q + 12r Divide each side by '-10'. p = 6.1q + -1.2r Simplifying p = 6.1q + -1.2r
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