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Simplifying 2p + 4(q + -3) + -6(p + -2) = 0 Reorder the terms: 2p + 4(-3 + q) + -6(p + -2) = 0 2p + (-3 * 4 + q * 4) + -6(p + -2) = 0 2p + (-12 + 4q) + -6(p + -2) = 0 Reorder the terms: 2p + -12 + 4q + -6(-2 + p) = 0 2p + -12 + 4q + (-2 * -6 + p * -6) = 0 2p + -12 + 4q + (12 + -6p) = 0 Reorder the terms: -12 + 12 + 2p + -6p + 4q = 0 Combine like terms: -12 + 12 = 0 0 + 2p + -6p + 4q = 0 2p + -6p + 4q = 0 Combine like terms: 2p + -6p = -4p -4p + 4q = 0 Solving -4p + 4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4q' to each side of the equation. -4p + 4q + -4q = 0 + -4q Combine like terms: 4q + -4q = 0 -4p + 0 = 0 + -4q -4p = 0 + -4q Remove the zero: -4p = -4q Divide each side by '-4'. p = q Simplifying p = q
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