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Simplifying 8p + 34 = 2(8p + 5) Reorder the terms: 34 + 8p = 2(8p + 5) Reorder the terms: 34 + 8p = 2(5 + 8p) 34 + 8p = (5 * 2 + 8p * 2) 34 + 8p = (10 + 16p) Solving 34 + 8p = 10 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 34 + 8p + -16p = 10 + 16p + -16p Combine like terms: 8p + -16p = -8p 34 + -8p = 10 + 16p + -16p Combine like terms: 16p + -16p = 0 34 + -8p = 10 + 0 34 + -8p = 10 Add '-34' to each side of the equation. 34 + -34 + -8p = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -8p = 10 + -34 -8p = 10 + -34 Combine like terms: 10 + -34 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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