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Simplifying 5p + -81 = 12 + -4p + 33 Reorder the terms: -81 + 5p = 12 + -4p + 33 Reorder the terms: -81 + 5p = 12 + 33 + -4p Combine like terms: 12 + 33 = 45 -81 + 5p = 45 + -4p Solving -81 + 5p = 45 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -81 + 5p + 4p = 45 + -4p + 4p Combine like terms: 5p + 4p = 9p -81 + 9p = 45 + -4p + 4p Combine like terms: -4p + 4p = 0 -81 + 9p = 45 + 0 -81 + 9p = 45 Add '81' to each side of the equation. -81 + 81 + 9p = 45 + 81 Combine like terms: -81 + 81 = 0 0 + 9p = 45 + 81 9p = 45 + 81 Combine like terms: 45 + 81 = 126 9p = 126 Divide each side by '9'. p = 14 Simplifying p = 14
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