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Simplifying 3 + 2p + -2 = 9p + 16 + -4p Reorder the terms: 3 + -2 + 2p = 9p + 16 + -4p Combine like terms: 3 + -2 = 1 1 + 2p = 9p + 16 + -4p Reorder the terms: 1 + 2p = 16 + 9p + -4p Combine like terms: 9p + -4p = 5p 1 + 2p = 16 + 5p Solving 1 + 2p = 16 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 1 + 2p + -5p = 16 + 5p + -5p Combine like terms: 2p + -5p = -3p 1 + -3p = 16 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + -3p = 16 + 0 1 + -3p = 16 Add '-1' to each side of the equation. 1 + -1 + -3p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 16 + -1 -3p = 16 + -1 Combine like terms: 16 + -1 = 15 -3p = 15 Divide each side by '-3'. p = -5 Simplifying p = -5
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