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Simplifying 42 + -8p = p + 6 Reorder the terms: 42 + -8p = 6 + p Solving 42 + -8p = 6 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 42 + -8p + -1p = 6 + p + -1p Combine like terms: -8p + -1p = -9p 42 + -9p = 6 + p + -1p Combine like terms: p + -1p = 0 42 + -9p = 6 + 0 42 + -9p = 6 Add '-42' to each side of the equation. 42 + -42 + -9p = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -9p = 6 + -42 -9p = 6 + -42 Combine like terms: 6 + -42 = -36 -9p = -36 Divide each side by '-9'. p = 4 Simplifying p = 4
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