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Simplifying 9 + 3p + -5 = 9p + 12 + -5p Reorder the terms: 9 + -5 + 3p = 9p + 12 + -5p Combine like terms: 9 + -5 = 4 4 + 3p = 9p + 12 + -5p Reorder the terms: 4 + 3p = 12 + 9p + -5p Combine like terms: 9p + -5p = 4p 4 + 3p = 12 + 4p Solving 4 + 3p = 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. 4 + 3p + -4p = 12 + 4p + -4p Combine like terms: 3p + -4p = -1p 4 + -1p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + -1p = 12 + 0 4 + -1p = 12 Add '-4' to each side of the equation. 4 + -4 + -1p = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 12 + -4 -1p = 12 + -4 Combine like terms: 12 + -4 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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