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Simplifying 5p + 12 = 3p + 22 Reorder the terms: 12 + 5p = 3p + 22 Reorder the terms: 12 + 5p = 22 + 3p Solving 12 + 5p = 22 + 3p 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. 12 + 5p + -3p = 22 + 3p + -3p Combine like terms: 5p + -3p = 2p 12 + 2p = 22 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + 2p = 22 + 0 12 + 2p = 22 Add '-12' to each side of the equation. 12 + -12 + 2p = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 22 + -12 2p = 22 + -12 Combine like terms: 22 + -12 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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