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Simplifying p + 31 = 3p + 19 Reorder the terms: 31 + p = 3p + 19 Reorder the terms: 31 + p = 19 + 3p Solving 31 + p = 19 + 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. 31 + p + -3p = 19 + 3p + -3p Combine like terms: p + -3p = -2p 31 + -2p = 19 + 3p + -3p Combine like terms: 3p + -3p = 0 31 + -2p = 19 + 0 31 + -2p = 19 Add '-31' to each side of the equation. 31 + -31 + -2p = 19 + -31 Combine like terms: 31 + -31 = 0 0 + -2p = 19 + -31 -2p = 19 + -31 Combine like terms: 19 + -31 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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