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Simplifying 2p + 20 + -5p = 11 + -31p + 8 Reorder the terms: 20 + 2p + -5p = 11 + -31p + 8 Combine like terms: 2p + -5p = -3p 20 + -3p = 11 + -31p + 8 Reorder the terms: 20 + -3p = 11 + 8 + -31p Combine like terms: 11 + 8 = 19 20 + -3p = 19 + -31p Solving 20 + -3p = 19 + -31p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '31p' to each side of the equation. 20 + -3p + 31p = 19 + -31p + 31p Combine like terms: -3p + 31p = 28p 20 + 28p = 19 + -31p + 31p Combine like terms: -31p + 31p = 0 20 + 28p = 19 + 0 20 + 28p = 19 Add '-20' to each side of the equation. 20 + -20 + 28p = 19 + -20 Combine like terms: 20 + -20 = 0 0 + 28p = 19 + -20 28p = 19 + -20 Combine like terms: 19 + -20 = -1 28p = -1 Divide each side by '28'. p = -0.03571428571 Simplifying p = -0.03571428571
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