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Simplifying 6p + -6 + -9p + 36 = 12p Reorder the terms: -6 + 36 + 6p + -9p = 12p Combine like terms: -6 + 36 = 30 30 + 6p + -9p = 12p Combine like terms: 6p + -9p = -3p 30 + -3p = 12p Solving 30 + -3p = 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 30 + -3p + -12p = 12p + -12p Combine like terms: -3p + -12p = -15p 30 + -15p = 12p + -12p Combine like terms: 12p + -12p = 0 30 + -15p = 0 Add '-30' to each side of the equation. 30 + -30 + -15p = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15p = 0 + -30 -15p = 0 + -30 Combine like terms: 0 + -30 = -30 -15p = -30 Divide each side by '-15'. p = 2 Simplifying p = 2
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