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Simplifying 5p + -2 = 12 + -9p Reorder the terms: -2 + 5p = 12 + -9p Solving -2 + 5p = 12 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -2 + 5p + 9p = 12 + -9p + 9p Combine like terms: 5p + 9p = 14p -2 + 14p = 12 + -9p + 9p Combine like terms: -9p + 9p = 0 -2 + 14p = 12 + 0 -2 + 14p = 12 Add '2' to each side of the equation. -2 + 2 + 14p = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14p = 12 + 2 14p = 12 + 2 Combine like terms: 12 + 2 = 14 14p = 14 Divide each side by '14'. p = 1 Simplifying p = 1
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