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