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Simplifying 4p + 3q + -7(4p + -6q + 9r) = 0 4p + 3q + (4p * -7 + -6q * -7 + 9r * -7) = 0 4p + 3q + (-28p + 42q + -63r) = 0 Reorder the terms: 4p + -28p + 3q + 42q + -63r = 0 Combine like terms: 4p + -28p = -24p -24p + 3q + 42q + -63r = 0 Combine like terms: 3q + 42q = 45q -24p + 45q + -63r = 0 Solving -24p + 45q + -63r = 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. -24p + 45q + -45q + -63r = 0 + -45q Combine like terms: 45q + -45q = 0 -24p + 0 + -63r = 0 + -45q -24p + -63r = 0 + -45q Remove the zero: -24p + -63r = -45q Add '63r' to each side of the equation. -24p + -63r + 63r = -45q + 63r Combine like terms: -63r + 63r = 0 -24p + 0 = -45q + 63r -24p = -45q + 63r Divide each side by '-24'. p = 1.875q + -2.625r Simplifying p = 1.875q + -2.625r
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