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Simplifying 5 + 3p + -2 = 9p + 12 + -5p Reorder the terms: 5 + -2 + 3p = 9p + 12 + -5p Combine like terms: 5 + -2 = 3 3 + 3p = 9p + 12 + -5p Reorder the terms: 3 + 3p = 12 + 9p + -5p Combine like terms: 9p + -5p = 4p 3 + 3p = 12 + 4p Solving 3 + 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. 3 + 3p + -4p = 12 + 4p + -4p Combine like terms: 3p + -4p = -1p 3 + -1p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + -1p = 12 + 0 3 + -1p = 12 Add '-3' to each side of the equation. 3 + -3 + -1p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 12 + -3 -1p = 12 + -3 Combine like terms: 12 + -3 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9
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