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Simplifying p + 42 = 8p Reorder the terms: 42 + p = 8p Solving 42 + p = 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. 42 + p + -8p = 8p + -8p Combine like terms: p + -8p = -7p 42 + -7p = 8p + -8p Combine like terms: 8p + -8p = 0 42 + -7p = 0 Add '-42' to each side of the equation. 42 + -42 + -7p = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7p = 0 + -42 -7p = 0 + -42 Combine like terms: 0 + -42 = -42 -7p = -42 Divide each side by '-7'. p = 6 Simplifying p = 6
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