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Simplifying 34 = 2 + 8(p + -1) Reorder the terms: 34 = 2 + 8(-1 + p) 34 = 2 + (-1 * 8 + p * 8) 34 = 2 + (-8 + 8p) Combine like terms: 2 + -8 = -6 34 = -6 + 8p Solving 34 = -6 + 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. 34 + -8p = -6 + 8p + -8p Combine like terms: 8p + -8p = 0 34 + -8p = -6 + 0 34 + -8p = -6 Add '-34' to each side of the equation. 34 + -34 + -8p = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -8p = -6 + -34 -8p = -6 + -34 Combine like terms: -6 + -34 = -40 -8p = -40 Divide each side by '-8'. p = 5 Simplifying p = 5
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