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Simplifying 34 = 4 + 5(p + -1) Reorder the terms: 34 = 4 + 5(-1 + p) 34 = 4 + (-1 * 5 + p * 5) 34 = 4 + (-5 + 5p) Combine like terms: 4 + -5 = -1 34 = -1 + 5p Solving 34 = -1 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 34 + -5p = -1 + 5p + -5p Combine like terms: 5p + -5p = 0 34 + -5p = -1 + 0 34 + -5p = -1 Add '-34' to each side of the equation. 34 + -34 + -5p = -1 + -34 Combine like terms: 34 + -34 = 0 0 + -5p = -1 + -34 -5p = -1 + -34 Combine like terms: -1 + -34 = -35 -5p = -35 Divide each side by '-5'. p = 7 Simplifying p = 7
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