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Simplifying 2p + q = 3p + 2q Solving 2p + q = 3p + 2q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2p + -3p + q = 3p + -3p + 2q Combine like terms: 2p + -3p = -1p -1p + q = 3p + -3p + 2q Combine like terms: 3p + -3p = 0 -1p + q = 0 + 2q -1p + q = 2q Add '-1q' to each side of the equation. -1p + q + -1q = 2q + -1q Combine like terms: q + -1q = 0 -1p + 0 = 2q + -1q -1p = 2q + -1q Combine like terms: 2q + -1q = 1q -1p = 1q Divide each side by '-1'. p = -1q Simplifying p = -1q
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