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Simplifying 5p + 20 + -12 = 3p + -12 + -2p Reorder the terms: 20 + -12 + 5p = 3p + -12 + -2p Combine like terms: 20 + -12 = 8 8 + 5p = 3p + -12 + -2p Reorder the terms: 8 + 5p = -12 + 3p + -2p Combine like terms: 3p + -2p = 1p 8 + 5p = -12 + 1p Solving 8 + 5p = -12 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 8 + 5p + -1p = -12 + 1p + -1p Combine like terms: 5p + -1p = 4p 8 + 4p = -12 + 1p + -1p Combine like terms: 1p + -1p = 0 8 + 4p = -12 + 0 8 + 4p = -12 Add '-8' to each side of the equation. 8 + -8 + 4p = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = -12 + -8 4p = -12 + -8 Combine like terms: -12 + -8 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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