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Simplifying 5p + -12 = 4p + 8 + -9p Reorder the terms: -12 + 5p = 4p + 8 + -9p Reorder the terms: -12 + 5p = 8 + 4p + -9p Combine like terms: 4p + -9p = -5p -12 + 5p = 8 + -5p Solving -12 + 5p = 8 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -12 + 5p + 5p = 8 + -5p + 5p Combine like terms: 5p + 5p = 10p -12 + 10p = 8 + -5p + 5p Combine like terms: -5p + 5p = 0 -12 + 10p = 8 + 0 -12 + 10p = 8 Add '12' to each side of the equation. -12 + 12 + 10p = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10p = 8 + 12 10p = 8 + 12 Combine like terms: 8 + 12 = 20 10p = 20 Divide each side by '10'. p = 2 Simplifying p = 2
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