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Simplifying -34 = p + 42 + -5p Reorder the terms: -34 = 42 + p + -5p Combine like terms: p + -5p = -4p -34 = 42 + -4p Solving -34 = 42 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -34 + 4p = 42 + -4p + 4p Combine like terms: -4p + 4p = 0 -34 + 4p = 42 + 0 -34 + 4p = 42 Add '34' to each side of the equation. -34 + 34 + 4p = 42 + 34 Combine like terms: -34 + 34 = 0 0 + 4p = 42 + 34 4p = 42 + 34 Combine like terms: 42 + 34 = 76 4p = 76 Divide each side by '4'. p = 19 Simplifying p = 19
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