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Simplifying 22 + 3p = 8 + 7(7p + 2) Reorder the terms: 22 + 3p = 8 + 7(2 + 7p) 22 + 3p = 8 + (2 * 7 + 7p * 7) 22 + 3p = 8 + (14 + 49p) Combine like terms: 8 + 14 = 22 22 + 3p = 22 + 49p Add '-22' to each side of the equation. 22 + -22 + 3p = 22 + -22 + 49p Combine like terms: 22 + -22 = 0 0 + 3p = 22 + -22 + 49p 3p = 22 + -22 + 49p Combine like terms: 22 + -22 = 0 3p = 0 + 49p 3p = 49p Solving 3p = 49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-49p' to each side of the equation. 3p + -49p = 49p + -49p Combine like terms: 3p + -49p = -46p -46p = 49p + -49p Combine like terms: 49p + -49p = 0 -46p = 0 Divide each side by '-46'. p = 0 Simplifying p = 0
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