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Simplifying -5p + 7(3p + 7) = -39 + -6p Reorder the terms: -5p + 7(7 + 3p) = -39 + -6p -5p + (7 * 7 + 3p * 7) = -39 + -6p -5p + (49 + 21p) = -39 + -6p Reorder the terms: 49 + -5p + 21p = -39 + -6p Combine like terms: -5p + 21p = 16p 49 + 16p = -39 + -6p Solving 49 + 16p = -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. 49 + 16p + 6p = -39 + -6p + 6p Combine like terms: 16p + 6p = 22p 49 + 22p = -39 + -6p + 6p Combine like terms: -6p + 6p = 0 49 + 22p = -39 + 0 49 + 22p = -39 Add '-49' to each side of the equation. 49 + -49 + 22p = -39 + -49 Combine like terms: 49 + -49 = 0 0 + 22p = -39 + -49 22p = -39 + -49 Combine like terms: -39 + -49 = -88 22p = -88 Divide each side by '22'. p = -4 Simplifying p = -4
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