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Simplifying p + -42 = 258 + -2p Reorder the terms: -42 + p = 258 + -2p Solving -42 + p = 258 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -42 + p + 2p = 258 + -2p + 2p Combine like terms: p + 2p = 3p -42 + 3p = 258 + -2p + 2p Combine like terms: -2p + 2p = 0 -42 + 3p = 258 + 0 -42 + 3p = 258 Add '42' to each side of the equation. -42 + 42 + 3p = 258 + 42 Combine like terms: -42 + 42 = 0 0 + 3p = 258 + 42 3p = 258 + 42 Combine like terms: 258 + 42 = 300 3p = 300 Divide each side by '3'. p = 100 Simplifying p = 100
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