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Simplifying p + 47 = 3p + 15 Reorder the terms: 47 + p = 3p + 15 Reorder the terms: 47 + p = 15 + 3p Solving 47 + p = 15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 47 + p + -3p = 15 + 3p + -3p Combine like terms: p + -3p = -2p 47 + -2p = 15 + 3p + -3p Combine like terms: 3p + -3p = 0 47 + -2p = 15 + 0 47 + -2p = 15 Add '-47' to each side of the equation. 47 + -47 + -2p = 15 + -47 Combine like terms: 47 + -47 = 0 0 + -2p = 15 + -47 -2p = 15 + -47 Combine like terms: 15 + -47 = -32 -2p = -32 Divide each side by '-2'. p = 16 Simplifying p = 16
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