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Simplifying 2p + -1q = 5p + 2 Reorder the terms: 2p + -1q = 2 + 5p Solving 2p + -1q = 2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2p + -5p + -1q = 2 + 5p + -5p Combine like terms: 2p + -5p = -3p -3p + -1q = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 -3p + -1q = 2 + 0 -3p + -1q = 2 Add 'q' to each side of the equation. -3p + -1q + q = 2 + q Combine like terms: -1q + q = 0 -3p + 0 = 2 + q -3p = 2 + q Divide each side by '-3'. p = -0.6666666667 + -0.3333333333q Simplifying p = -0.6666666667 + -0.3333333333q
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