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Simplifying p + 9 = 4p + -12 Reorder the terms: 9 + p = 4p + -12 Reorder the terms: 9 + p = -12 + 4p Solving 9 + p = -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. 9 + p + -4p = -12 + 4p + -4p Combine like terms: p + -4p = -3p 9 + -3p = -12 + 4p + -4p Combine like terms: 4p + -4p = 0 9 + -3p = -12 + 0 9 + -3p = -12 Add '-9' to each side of the equation. 9 + -9 + -3p = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3p = -12 + -9 -3p = -12 + -9 Combine like terms: -12 + -9 = -21 -3p = -21 Divide each side by '-3'. p = 7 Simplifying p = 7
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