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Simplifying 3p + 9q + -5(2p + -2q) = 0 3p + 9q + (2p * -5 + -2q * -5) = 0 3p + 9q + (-10p + 10q) = 0 Reorder the terms: 3p + -10p + 9q + 10q = 0 Combine like terms: 3p + -10p = -7p -7p + 9q + 10q = 0 Combine like terms: 9q + 10q = 19q -7p + 19q = 0 Solving -7p + 19q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19q' to each side of the equation. -7p + 19q + -19q = 0 + -19q Combine like terms: 19q + -19q = 0 -7p + 0 = 0 + -19q -7p = 0 + -19q Remove the zero: -7p = -19q Divide each side by '-7'. p = 2.714285714q Simplifying p = 2.714285714q
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