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Simplifying 7 + 2p + -3 = 5p + 13 + -2p Reorder the terms: 7 + -3 + 2p = 5p + 13 + -2p Combine like terms: 7 + -3 = 4 4 + 2p = 5p + 13 + -2p Reorder the terms: 4 + 2p = 13 + 5p + -2p Combine like terms: 5p + -2p = 3p 4 + 2p = 13 + 3p Solving 4 + 2p = 13 + 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. 4 + 2p + -3p = 13 + 3p + -3p Combine like terms: 2p + -3p = -1p 4 + -1p = 13 + 3p + -3p Combine like terms: 3p + -3p = 0 4 + -1p = 13 + 0 4 + -1p = 13 Add '-4' to each side of the equation. 4 + -4 + -1p = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 13 + -4 -1p = 13 + -4 Combine like terms: 13 + -4 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9
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