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