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Simplifying 6p + 2q + -2(6p + -5q) = 0 6p + 2q + (6p * -2 + -5q * -2) = 0 6p + 2q + (-12p + 10q) = 0 Reorder the terms: 6p + -12p + 2q + 10q = 0 Combine like terms: 6p + -12p = -6p -6p + 2q + 10q = 0 Combine like terms: 2q + 10q = 12q -6p + 12q = 0 Solving -6p + 12q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12q' to each side of the equation. -6p + 12q + -12q = 0 + -12q Combine like terms: 12q + -12q = 0 -6p + 0 = 0 + -12q -6p = 0 + -12q Remove the zero: -6p = -12q Divide each side by '-6'. p = 2q Simplifying p = 2q
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