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Simplifying 12p + 3 + -9p = 12 + -6p Reorder the terms: 3 + 12p + -9p = 12 + -6p Combine like terms: 12p + -9p = 3p 3 + 3p = 12 + -6p Solving 3 + 3p = 12 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 3 + 3p + 6p = 12 + -6p + 6p Combine like terms: 3p + 6p = 9p 3 + 9p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 3 + 9p = 12 + 0 3 + 9p = 12 Add '-3' to each side of the equation. 3 + -3 + 9p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 12 + -3 9p = 12 + -3 Combine like terms: 12 + -3 = 9 9p = 9 Divide each side by '9'. p = 1 Simplifying p = 1
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