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Simplifying 8 + 2p + -6 = 7p + 16 + -3p Reorder the terms: 8 + -6 + 2p = 7p + 16 + -3p Combine like terms: 8 + -6 = 2 2 + 2p = 7p + 16 + -3p Reorder the terms: 2 + 2p = 16 + 7p + -3p Combine like terms: 7p + -3p = 4p 2 + 2p = 16 + 4p Solving 2 + 2p = 16 + 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 + 2p + -4p = 16 + 4p + -4p Combine like terms: 2p + -4p = -2p 2 + -2p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + -2p = 16 + 0 2 + -2p = 16 Add '-2' to each side of the equation. 2 + -2 + -2p = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2p = 16 + -2 -2p = 16 + -2 Combine like terms: 16 + -2 = 14 -2p = 14 Divide each side by '-2'. p = -7 Simplifying p = -7
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