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Simplifying 2 + 5p + 3 = -3p + 33 + p Reorder the terms: 2 + 3 + 5p = -3p + 33 + p Combine like terms: 2 + 3 = 5 5 + 5p = -3p + 33 + p Reorder the terms: 5 + 5p = 33 + -3p + p Combine like terms: -3p + p = -2p 5 + 5p = 33 + -2p Solving 5 + 5p = 33 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 5 + 5p + 2p = 33 + -2p + 2p Combine like terms: 5p + 2p = 7p 5 + 7p = 33 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 7p = 33 + 0 5 + 7p = 33 Add '-5' to each side of the equation. 5 + -5 + 7p = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 7p = 33 + -5 7p = 33 + -5 Combine like terms: 33 + -5 = 28 7p = 28 Divide each side by '7'. p = 4 Simplifying p = 4
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