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Simplifying 3p + 2 + 2p + 1 * 2 = 2p + 8 + 2p + 3 Multiply 1 * 2 3p + 2 + 2p + 2 = 2p + 8 + 2p + 3 Reorder the terms: 2 + 2 + 3p + 2p = 2p + 8 + 2p + 3 Combine like terms: 2 + 2 = 4 4 + 3p + 2p = 2p + 8 + 2p + 3 Combine like terms: 3p + 2p = 5p 4 + 5p = 2p + 8 + 2p + 3 Reorder the terms: 4 + 5p = 8 + 3 + 2p + 2p Combine like terms: 8 + 3 = 11 4 + 5p = 11 + 2p + 2p Combine like terms: 2p + 2p = 4p 4 + 5p = 11 + 4p Solving 4 + 5p = 11 + 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. 4 + 5p + -4p = 11 + 4p + -4p Combine like terms: 5p + -4p = 1p 4 + 1p = 11 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + 1p = 11 + 0 4 + 1p = 11 Add '-4' to each side of the equation. 4 + -4 + 1p = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1p = 11 + -4 1p = 11 + -4 Combine like terms: 11 + -4 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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