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Simplifying 8 = 3p + -12 + -7p Reorder the terms: 8 = -12 + 3p + -7p Combine like terms: 3p + -7p = -4p 8 = -12 + -4p Solving 8 = -12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 8 + 4p = -12 + -4p + 4p Combine like terms: -4p + 4p = 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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