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Simplifying 7(p + 2) = 7(2 + 8p) Reorder the terms: 7(2 + p) = 7(2 + 8p) (2 * 7 + p * 7) = 7(2 + 8p) (14 + 7p) = 7(2 + 8p) 14 + 7p = (2 * 7 + 8p * 7) 14 + 7p = (14 + 56p) Add '-14' to each side of the equation. 14 + -14 + 7p = 14 + -14 + 56p Combine like terms: 14 + -14 = 0 0 + 7p = 14 + -14 + 56p 7p = 14 + -14 + 56p Combine like terms: 14 + -14 = 0 7p = 0 + 56p 7p = 56p Solving 7p = 56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56p' to each side of the equation. 7p + -56p = 56p + -56p Combine like terms: 7p + -56p = -49p -49p = 56p + -56p Combine like terms: 56p + -56p = 0 -49p = 0 Divide each side by '-49'. p = 0 Simplifying p = 0
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