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Simplifying 6 + 3p + -5 = 7p + 7 + -5p Reorder the terms: 6 + -5 + 3p = 7p + 7 + -5p Combine like terms: 6 + -5 = 1 1 + 3p = 7p + 7 + -5p Reorder the terms: 1 + 3p = 7 + 7p + -5p Combine like terms: 7p + -5p = 2p 1 + 3p = 7 + 2p Solving 1 + 3p = 7 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 1 + 3p + -2p = 7 + 2p + -2p Combine like terms: 3p + -2p = 1p 1 + 1p = 7 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 1p = 7 + 0 1 + 1p = 7 Add '-1' to each side of the equation. 1 + -1 + 1p = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1p = 7 + -1 1p = 7 + -1 Combine like terms: 7 + -1 = 6 1p = 6 Divide each side by '1'. p = 6 Simplifying p = 6
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