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Simplifying 8 + 2p + -5 = 6p + 15 + -2p Reorder the terms: 8 + -5 + 2p = 6p + 15 + -2p Combine like terms: 8 + -5 = 3 3 + 2p = 6p + 15 + -2p Reorder the terms: 3 + 2p = 15 + 6p + -2p Combine like terms: 6p + -2p = 4p 3 + 2p = 15 + 4p Solving 3 + 2p = 15 + 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. 3 + 2p + -4p = 15 + 4p + -4p Combine like terms: 2p + -4p = -2p 3 + -2p = 15 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + -2p = 15 + 0 3 + -2p = 15 Add '-3' to each side of the equation. 3 + -3 + -2p = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = 15 + -3 -2p = 15 + -3 Combine like terms: 15 + -3 = 12 -2p = 12 Divide each side by '-2'. p = -6 Simplifying p = -6
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