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Simplifying 6p + -2 + 2p = 2 + 4p + 8 Reorder the terms: -2 + 6p + 2p = 2 + 4p + 8 Combine like terms: 6p + 2p = 8p -2 + 8p = 2 + 4p + 8 Reorder the terms: -2 + 8p = 2 + 8 + 4p Combine like terms: 2 + 8 = 10 -2 + 8p = 10 + 4p Solving -2 + 8p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -2 + 8p + -4p = 10 + 4p + -4p Combine like terms: 8p + -4p = 4p -2 + 4p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 -2 + 4p = 10 + 0 -2 + 4p = 10 Add '2' to each side of the equation. -2 + 2 + 4p = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 10 + 2 4p = 10 + 2 Combine like terms: 10 + 2 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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