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Simplifying 7p + 4 + -2p + 1 = 8p + 2 Reorder the terms: 4 + 1 + 7p + -2p = 8p + 2 Combine like terms: 4 + 1 = 5 5 + 7p + -2p = 8p + 2 Combine like terms: 7p + -2p = 5p 5 + 5p = 8p + 2 Reorder the terms: 5 + 5p = 2 + 8p Solving 5 + 5p = 2 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 5 + 5p + -8p = 2 + 8p + -8p Combine like terms: 5p + -8p = -3p 5 + -3p = 2 + 8p + -8p Combine like terms: 8p + -8p = 0 5 + -3p = 2 + 0 5 + -3p = 2 Add '-5' to each side of the equation. 5 + -5 + -3p = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -3p = 2 + -5 -3p = 2 + -5 Combine like terms: 2 + -5 = -3 -3p = -3 Divide each side by '-3'. p = 1 Simplifying p = 1
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