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Simplifying 8p + 3 + -6p = 12 + -4p + 15 Reorder the terms: 3 + 8p + -6p = 12 + -4p + 15 Combine like terms: 8p + -6p = 2p 3 + 2p = 12 + -4p + 15 Reorder the terms: 3 + 2p = 12 + 15 + -4p Combine like terms: 12 + 15 = 27 3 + 2p = 27 + -4p Solving 3 + 2p = 27 + -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 = 27 + -4p + 4p Combine like terms: 2p + 4p = 6p 3 + 6p = 27 + -4p + 4p Combine like terms: -4p + 4p = 0 3 + 6p = 27 + 0 3 + 6p = 27 Add '-3' to each side of the equation. 3 + -3 + 6p = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6p = 27 + -3 6p = 27 + -3 Combine like terms: 27 + -3 = 24 6p = 24 Divide each side by '6'. p = 4 Simplifying p = 4
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