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Simplifying 2p + 5 = 3p + 1 Reorder the terms: 5 + 2p = 3p + 1 Reorder the terms: 5 + 2p = 1 + 3p Solving 5 + 2p = 1 + 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. 5 + 2p + -3p = 1 + 3p + -3p Combine like terms: 2p + -3p = -1p 5 + -1p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 5 + -1p = 1 + 0 5 + -1p = 1 Add '-5' to each side of the equation. 5 + -5 + -1p = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 1 + -5 -1p = 1 + -5 Combine like terms: 1 + -5 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4
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