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Simplifying 3 + 7p + -4 + p = 6p + -1 Reorder the terms: 3 + -4 + 7p + p = 6p + -1 Combine like terms: 3 + -4 = -1 -1 + 7p + p = 6p + -1 Combine like terms: 7p + p = 8p -1 + 8p = 6p + -1 Reorder the terms: -1 + 8p = -1 + 6p Add '1' to each side of the equation. -1 + 1 + 8p = -1 + 1 + 6p Combine like terms: -1 + 1 = 0 0 + 8p = -1 + 1 + 6p 8p = -1 + 1 + 6p Combine like terms: -1 + 1 = 0 8p = 0 + 6p 8p = 6p Solving 8p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 8p + -6p = 6p + -6p Combine like terms: 8p + -6p = 2p 2p = 6p + -6p Combine like terms: 6p + -6p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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