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Simplifying -5 + -1p = p + 8 + 6 + -7 Reorder the terms: -5 + -1p = 8 + 6 + -7 + p Combine like terms: 8 + 6 = 14 -5 + -1p = 14 + -7 + p Combine like terms: 14 + -7 = 7 -5 + -1p = 7 + p Solving -5 + -1p = 7 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -5 + -1p + -1p = 7 + p + -1p Combine like terms: -1p + -1p = -2p -5 + -2p = 7 + p + -1p Combine like terms: p + -1p = 0 -5 + -2p = 7 + 0 -5 + -2p = 7 Add '5' to each side of the equation. -5 + 5 + -2p = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2p = 7 + 5 -2p = 7 + 5 Combine like terms: 7 + 5 = 12 -2p = 12 Divide each side by '-2'. p = -6 Simplifying p = -6
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