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Simplifying 5 + 12p + -1 = 9p + 54 + -7 Reorder the terms: 5 + -1 + 12p = 9p + 54 + -7 Combine like terms: 5 + -1 = 4 4 + 12p = 9p + 54 + -7 Reorder the terms: 4 + 12p = 54 + -7 + 9p Combine like terms: 54 + -7 = 47 4 + 12p = 47 + 9p Solving 4 + 12p = 47 + 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. 4 + 12p + -9p = 47 + 9p + -9p Combine like terms: 12p + -9p = 3p 4 + 3p = 47 + 9p + -9p Combine like terms: 9p + -9p = 0 4 + 3p = 47 + 0 4 + 3p = 47 Add '-4' to each side of the equation. 4 + -4 + 3p = 47 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 47 + -4 3p = 47 + -4 Combine like terms: 47 + -4 = 43 3p = 43 Divide each side by '3'. p = 14.33333333 Simplifying p = 14.33333333
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