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Simplifying -2p + 7 = 6 + -5p + 7 Reorder the terms: 7 + -2p = 6 + -5p + 7 Reorder the terms: 7 + -2p = 6 + 7 + -5p Combine like terms: 6 + 7 = 13 7 + -2p = 13 + -5p Solving 7 + -2p = 13 + -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 = 13 + -5p + 5p Combine like terms: -2p + 5p = 3p 7 + 3p = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 7 + 3p = 13 + 0 7 + 3p = 13 Add '-7' to each side of the equation. 7 + -7 + 3p = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 13 + -7 3p = 13 + -7 Combine like terms: 13 + -7 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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