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Simplifying 2p + 2q + -6(2p + -3q + 4r) = 0 2p + 2q + (2p * -6 + -3q * -6 + 4r * -6) = 0 2p + 2q + (-12p + 18q + -24r) = 0 Reorder the terms: 2p + -12p + 2q + 18q + -24r = 0 Combine like terms: 2p + -12p = -10p -10p + 2q + 18q + -24r = 0 Combine like terms: 2q + 18q = 20q -10p + 20q + -24r = 0 Solving -10p + 20q + -24r = 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. -10p + 20q + -20q + -24r = 0 + -20q Combine like terms: 20q + -20q = 0 -10p + 0 + -24r = 0 + -20q -10p + -24r = 0 + -20q Remove the zero: -10p + -24r = -20q Add '24r' to each side of the equation. -10p + -24r + 24r = -20q + 24r Combine like terms: -24r + 24r = 0 -10p + 0 = -20q + 24r -10p = -20q + 24r Divide each side by '-10'. p = 2q + -2.4r Simplifying p = 2q + -2.4r
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