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Simplifying 2p + 3q + -6(2p + -7q + 4r) = 0 2p + 3q + (2p * -6 + -7q * -6 + 4r * -6) = 0 2p + 3q + (-12p + 42q + -24r) = 0 Reorder the terms: 2p + -12p + 3q + 42q + -24r = 0 Combine like terms: 2p + -12p = -10p -10p + 3q + 42q + -24r = 0 Combine like terms: 3q + 42q = 45q -10p + 45q + -24r = 0 Solving -10p + 45q + -24r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45q' to each side of the equation. -10p + 45q + -45q + -24r = 0 + -45q Combine like terms: 45q + -45q = 0 -10p + 0 + -24r = 0 + -45q -10p + -24r = 0 + -45q Remove the zero: -10p + -24r = -45q Add '24r' to each side of the equation. -10p + -24r + 24r = -45q + 24r Combine like terms: -24r + 24r = 0 -10p + 0 = -45q + 24r -10p = -45q + 24r Divide each side by '-10'. p = 4.5q + -2.4r Simplifying p = 4.5q + -2.4r
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