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Simplifying 12(p + -3) = 99 + 9p Reorder the terms: 12(-3 + p) = 99 + 9p (-3 * 12 + p * 12) = 99 + 9p (-36 + 12p) = 99 + 9p Solving -36 + 12p = 99 + 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. -36 + 12p + -9p = 99 + 9p + -9p Combine like terms: 12p + -9p = 3p -36 + 3p = 99 + 9p + -9p Combine like terms: 9p + -9p = 0 -36 + 3p = 99 + 0 -36 + 3p = 99 Add '36' to each side of the equation. -36 + 36 + 3p = 99 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = 99 + 36 3p = 99 + 36 Combine like terms: 99 + 36 = 135 3p = 135 Divide each side by '3'. p = 45 Simplifying p = 45
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