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Simplifying 12 + -6p = 27 + -9p Solving 12 + -6p = 27 + -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. 12 + -6p + 9p = 27 + -9p + 9p Combine like terms: -6p + 9p = 3p 12 + 3p = 27 + -9p + 9p Combine like terms: -9p + 9p = 0 12 + 3p = 27 + 0 12 + 3p = 27 Add '-12' to each side of the equation. 12 + -12 + 3p = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 3p = 27 + -12 3p = 27 + -12 Combine like terms: 27 + -12 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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