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Simplifying 4p + 4q + -4(9p + -2q) = 0 4p + 4q + (9p * -4 + -2q * -4) = 0 4p + 4q + (-36p + 8q) = 0 Reorder the terms: 4p + -36p + 4q + 8q = 0 Combine like terms: 4p + -36p = -32p -32p + 4q + 8q = 0 Combine like terms: 4q + 8q = 12q -32p + 12q = 0 Solving -32p + 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. -32p + 12q + -12q = 0 + -12q Combine like terms: 12q + -12q = 0 -32p + 0 = 0 + -12q -32p = 0 + -12q Remove the zero: -32p = -12q Divide each side by '-32'. p = 0.375q Simplifying p = 0.375q
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