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