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Simplifying 6p + 2p + -8 + 10 = 3p + 12 Reorder the terms: -8 + 10 + 6p + 2p = 3p + 12 Combine like terms: -8 + 10 = 2 2 + 6p + 2p = 3p + 12 Combine like terms: 6p + 2p = 8p 2 + 8p = 3p + 12 Reorder the terms: 2 + 8p = 12 + 3p Solving 2 + 8p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2 + 8p + -3p = 12 + 3p + -3p Combine like terms: 8p + -3p = 5p 2 + 5p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + 5p = 12 + 0 2 + 5p = 12 Add '-2' to each side of the equation. 2 + -2 + 5p = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5p = 12 + -2 5p = 12 + -2 Combine like terms: 12 + -2 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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