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Simplifying 5p + -1q = 2p + 12 Reorder the terms: 5p + -1q = 12 + 2p Solving 5p + -1q = 12 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 5p + -2p + -1q = 12 + 2p + -2p Combine like terms: 5p + -2p = 3p 3p + -1q = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 3p + -1q = 12 + 0 3p + -1q = 12 Add 'q' to each side of the equation. 3p + -1q + q = 12 + q Combine like terms: -1q + q = 0 3p + 0 = 12 + q 3p = 12 + q Divide each side by '3'. p = 4 + 0.3333333333q Simplifying p = 4 + 0.3333333333q
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