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Simplifying 7p + -42 = 8p + -34 Reorder the terms: -42 + 7p = 8p + -34 Reorder the terms: -42 + 7p = -34 + 8p Solving -42 + 7p = -34 + 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 + 7p + -8p = -34 + 8p + -8p Combine like terms: 7p + -8p = -1p -42 + -1p = -34 + 8p + -8p Combine like terms: 8p + -8p = 0 -42 + -1p = -34 + 0 -42 + -1p = -34 Add '42' to each side of the equation. -42 + 42 + -1p = -34 + 42 Combine like terms: -42 + 42 = 0 0 + -1p = -34 + 42 -1p = -34 + 42 Combine like terms: -34 + 42 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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