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Simplifying 4p + 9q + -6(4p + -7q + 6r) = 0 4p + 9q + (4p * -6 + -7q * -6 + 6r * -6) = 0 4p + 9q + (-24p + 42q + -36r) = 0 Reorder the terms: 4p + -24p + 9q + 42q + -36r = 0 Combine like terms: 4p + -24p = -20p -20p + 9q + 42q + -36r = 0 Combine like terms: 9q + 42q = 51q -20p + 51q + -36r = 0 Solving -20p + 51q + -36r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-51q' to each side of the equation. -20p + 51q + -51q + -36r = 0 + -51q Combine like terms: 51q + -51q = 0 -20p + 0 + -36r = 0 + -51q -20p + -36r = 0 + -51q Remove the zero: -20p + -36r = -51q Add '36r' to each side of the equation. -20p + -36r + 36r = -51q + 36r Combine like terms: -36r + 36r = 0 -20p + 0 = -51q + 36r -20p = -51q + 36r Divide each side by '-20'. p = 2.55q + -1.8r Simplifying p = 2.55q + -1.8r
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