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Simplifying 4 + 12p + -2 = 5p + 83 + -2p Reorder the terms: 4 + -2 + 12p = 5p + 83 + -2p Combine like terms: 4 + -2 = 2 2 + 12p = 5p + 83 + -2p Reorder the terms: 2 + 12p = 83 + 5p + -2p Combine like terms: 5p + -2p = 3p 2 + 12p = 83 + 3p Solving 2 + 12p = 83 + 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. 2 + 12p + -3p = 83 + 3p + -3p Combine like terms: 12p + -3p = 9p 2 + 9p = 83 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + 9p = 83 + 0 2 + 9p = 83 Add '-2' to each side of the equation. 2 + -2 + 9p = 83 + -2 Combine like terms: 2 + -2 = 0 0 + 9p = 83 + -2 9p = 83 + -2 Combine like terms: 83 + -2 = 81 9p = 81 Divide each side by '9'. p = 9 Simplifying p = 9
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