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Simplifying 2p + -11 = -47 + 8p Reorder the terms: -11 + 2p = -47 + 8p Solving -11 + 2p = -47 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -11 + 2p + -8p = -47 + 8p + -8p Combine like terms: 2p + -8p = -6p -11 + -6p = -47 + 8p + -8p Combine like terms: 8p + -8p = 0 -11 + -6p = -47 + 0 -11 + -6p = -47 Add '11' to each side of the equation. -11 + 11 + -6p = -47 + 11 Combine like terms: -11 + 11 = 0 0 + -6p = -47 + 11 -6p = -47 + 11 Combine like terms: -47 + 11 = -36 -6p = -36 Divide each side by '-6'. p = 6 Simplifying p = 6
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