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Simplifying -4p + -7(1 + -8p) = 39 + 6p -4p + (1 * -7 + -8p * -7) = 39 + 6p -4p + (-7 + 56p) = 39 + 6p Reorder the terms: -7 + -4p + 56p = 39 + 6p Combine like terms: -4p + 56p = 52p -7 + 52p = 39 + 6p Solving -7 + 52p = 39 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -7 + 52p + -6p = 39 + 6p + -6p Combine like terms: 52p + -6p = 46p -7 + 46p = 39 + 6p + -6p Combine like terms: 6p + -6p = 0 -7 + 46p = 39 + 0 -7 + 46p = 39 Add '7' to each side of the equation. -7 + 7 + 46p = 39 + 7 Combine like terms: -7 + 7 = 0 0 + 46p = 39 + 7 46p = 39 + 7 Combine like terms: 39 + 7 = 46 46p = 46 Divide each side by '46'. p = 1 Simplifying p = 1
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