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Simplifying 7p + 4q + -5(7p + -5q + 3r) = 0 7p + 4q + (7p * -5 + -5q * -5 + 3r * -5) = 0 7p + 4q + (-35p + 25q + -15r) = 0 Reorder the terms: 7p + -35p + 4q + 25q + -15r = 0 Combine like terms: 7p + -35p = -28p -28p + 4q + 25q + -15r = 0 Combine like terms: 4q + 25q = 29q -28p + 29q + -15r = 0 Solving -28p + 29q + -15r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-29q' to each side of the equation. -28p + 29q + -29q + -15r = 0 + -29q Combine like terms: 29q + -29q = 0 -28p + 0 + -15r = 0 + -29q -28p + -15r = 0 + -29q Remove the zero: -28p + -15r = -29q Add '15r' to each side of the equation. -28p + -15r + 15r = -29q + 15r Combine like terms: -15r + 15r = 0 -28p + 0 = -29q + 15r -28p = -29q + 15r Divide each side by '-28'. p = 1.035714286q + -0.5357142857r Simplifying p = 1.035714286q + -0.5357142857r
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