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Simplifying p + -20 = -5p + 2p + 12 Reorder the terms: -20 + p = -5p + 2p + 12 Reorder the terms: -20 + p = 12 + -5p + 2p Combine like terms: -5p + 2p = -3p -20 + p = 12 + -3p Solving -20 + p = 12 + -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. -20 + p + 3p = 12 + -3p + 3p Combine like terms: p + 3p = 4p -20 + 4p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 -20 + 4p = 12 + 0 -20 + 4p = 12 Add '20' to each side of the equation. -20 + 20 + 4p = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4p = 12 + 20 4p = 12 + 20 Combine like terms: 12 + 20 = 32 4p = 32 Divide each side by '4'. p = 8 Simplifying p = 8
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