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Simplifying -4p + -2 + 8 = 2p + -2 + -7p + 15 Reorder the terms: -2 + 8 + -4p = 2p + -2 + -7p + 15 Combine like terms: -2 + 8 = 6 6 + -4p = 2p + -2 + -7p + 15 Reorder the terms: 6 + -4p = -2 + 15 + 2p + -7p Combine like terms: -2 + 15 = 13 6 + -4p = 13 + 2p + -7p Combine like terms: 2p + -7p = -5p 6 + -4p = 13 + -5p Solving 6 + -4p = 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. 6 + -4p + 5p = 13 + -5p + 5p Combine like terms: -4p + 5p = 1p 6 + 1p = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 6 + 1p = 13 + 0 6 + 1p = 13 Add '-6' to each side of the equation. 6 + -6 + 1p = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1p = 13 + -6 1p = 13 + -6 Combine like terms: 13 + -6 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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