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Simplifying 5p + 2 + -3p = 8 + 4p + -6 Reorder the terms: 2 + 5p + -3p = 8 + 4p + -6 Combine like terms: 5p + -3p = 2p 2 + 2p = 8 + 4p + -6 Reorder the terms: 2 + 2p = 8 + -6 + 4p Combine like terms: 8 + -6 = 2 2 + 2p = 2 + 4p Add '-2' to each side of the equation. 2 + -2 + 2p = 2 + -2 + 4p Combine like terms: 2 + -2 = 0 0 + 2p = 2 + -2 + 4p 2p = 2 + -2 + 4p Combine like terms: 2 + -2 = 0 2p = 0 + 4p 2p = 4p Solving 2p = 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. 2p + -4p = 4p + -4p Combine like terms: 2p + -4p = -2p -2p = 4p + -4p Combine like terms: 4p + -4p = 0 -2p = 0 Divide each side by '-2'. p = 0 Simplifying p = 0
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