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Simplifying 4p + -2(-7 + -4p) = 7(7p + 2) 4p + (-7 * -2 + -4p * -2) = 7(7p + 2) 4p + (14 + 8p) = 7(7p + 2) Reorder the terms: 14 + 4p + 8p = 7(7p + 2) Combine like terms: 4p + 8p = 12p 14 + 12p = 7(7p + 2) Reorder the terms: 14 + 12p = 7(2 + 7p) 14 + 12p = (2 * 7 + 7p * 7) 14 + 12p = (14 + 49p) Add '-14' to each side of the equation. 14 + -14 + 12p = 14 + -14 + 49p Combine like terms: 14 + -14 = 0 0 + 12p = 14 + -14 + 49p 12p = 14 + -14 + 49p Combine like terms: 14 + -14 = 0 12p = 0 + 49p 12p = 49p Solving 12p = 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. 12p + -49p = 49p + -49p Combine like terms: 12p + -49p = -37p -37p = 49p + -49p Combine like terms: 49p + -49p = 0 -37p = 0 Divide each side by '-37'. p = 0 Simplifying p = 0
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