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Simplifying -2(p + 3q) + -2(6p + -7q) = 0 (p * -2 + 3q * -2) + -2(6p + -7q) = 0 (-2p + -6q) + -2(6p + -7q) = 0 -2p + -6q + (6p * -2 + -7q * -2) = 0 -2p + -6q + (-12p + 14q) = 0 Reorder the terms: -2p + -12p + -6q + 14q = 0 Combine like terms: -2p + -12p = -14p -14p + -6q + 14q = 0 Combine like terms: -6q + 14q = 8q -14p + 8q = 0 Solving -14p + 8q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. -14p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 -14p + 0 = 0 + -8q -14p = 0 + -8q Remove the zero: -14p = -8q Divide each side by '-14'. p = 0.5714285714q Simplifying p = 0.5714285714q
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