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Simplifying 7P + 2Q + -4(9p + -2q) = 0 7P + 2Q + (9p * -4 + -2q * -4) = 0 7P + 2Q + (-36p + 8q) = 0 Solving 7P + 2Q + -36p + 8q = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-2Q' to each side of the equation. 7P + 2Q + -36p + -2Q + 8q = 0 + -2Q Reorder the terms: 7P + 2Q + -2Q + -36p + 8q = 0 + -2Q Combine like terms: 2Q + -2Q = 0 7P + 0 + -36p + 8q = 0 + -2Q 7P + -36p + 8q = 0 + -2Q Remove the zero: 7P + -36p + 8q = -2Q Add '36p' to each side of the equation. 7P + -36p + 36p + 8q = -2Q + 36p Combine like terms: -36p + 36p = 0 7P + 0 + 8q = -2Q + 36p 7P + 8q = -2Q + 36p Add '-8q' to each side of the equation. 7P + 8q + -8q = -2Q + 36p + -8q Combine like terms: 8q + -8q = 0 7P + 0 = -2Q + 36p + -8q 7P = -2Q + 36p + -8q Divide each side by '7'. P = -0.2857142857Q + 5.142857143p + -1.142857143q Simplifying P = -0.2857142857Q + 5.142857143p + -1.142857143q
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