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Simplifying 2p + 18 + 33 = 3p + 21 Reorder the terms: 18 + 33 + 2p = 3p + 21 Combine like terms: 18 + 33 = 51 51 + 2p = 3p + 21 Reorder the terms: 51 + 2p = 21 + 3p Solving 51 + 2p = 21 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 51 + 2p + -3p = 21 + 3p + -3p Combine like terms: 2p + -3p = -1p 51 + -1p = 21 + 3p + -3p Combine like terms: 3p + -3p = 0 51 + -1p = 21 + 0 51 + -1p = 21 Add '-51' to each side of the equation. 51 + -51 + -1p = 21 + -51 Combine like terms: 51 + -51 = 0 0 + -1p = 21 + -51 -1p = 21 + -51 Combine like terms: 21 + -51 = -30 -1p = -30 Divide each side by '-1'. p = 30 Simplifying p = 30
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