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Simplifying 8 + 2p + 3p = p + 6 + 6p Combine like terms: 2p + 3p = 5p 8 + 5p = p + 6 + 6p Reorder the terms: 8 + 5p = 6 + p + 6p Combine like terms: p + 6p = 7p 8 + 5p = 6 + 7p Solving 8 + 5p = 6 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 8 + 5p + -7p = 6 + 7p + -7p Combine like terms: 5p + -7p = -2p 8 + -2p = 6 + 7p + -7p Combine like terms: 7p + -7p = 0 8 + -2p = 6 + 0 8 + -2p = 6 Add '-8' to each side of the equation. 8 + -8 + -2p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 6 + -8 -2p = 6 + -8 Combine like terms: 6 + -8 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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