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Simplifying -7(-8p + 1) = 4p + -7 Reorder the terms: -7(1 + -8p) = 4p + -7 (1 * -7 + -8p * -7) = 4p + -7 (-7 + 56p) = 4p + -7 Reorder the terms: -7 + 56p = -7 + 4p Add '7' to each side of the equation. -7 + 7 + 56p = -7 + 7 + 4p Combine like terms: -7 + 7 = 0 0 + 56p = -7 + 7 + 4p 56p = -7 + 7 + 4p Combine like terms: -7 + 7 = 0 56p = 0 + 4p 56p = 4p Solving 56p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 56p + -4p = 4p + -4p Combine like terms: 56p + -4p = 52p 52p = 4p + -4p Combine like terms: 4p + -4p = 0 52p = 0 Divide each side by '52'. p = 0 Simplifying p = 0
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