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Simplifying -7(p + -7) + 7 = 38 + -1p Reorder the terms: -7(-7 + p) + 7 = 38 + -1p (-7 * -7 + p * -7) + 7 = 38 + -1p (49 + -7p) + 7 = 38 + -1p Reorder the terms: 49 + 7 + -7p = 38 + -1p Combine like terms: 49 + 7 = 56 56 + -7p = 38 + -1p Solving 56 + -7p = 38 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 56 + -7p + p = 38 + -1p + p Combine like terms: -7p + p = -6p 56 + -6p = 38 + -1p + p Combine like terms: -1p + p = 0 56 + -6p = 38 + 0 56 + -6p = 38 Add '-56' to each side of the equation. 56 + -56 + -6p = 38 + -56 Combine like terms: 56 + -56 = 0 0 + -6p = 38 + -56 -6p = 38 + -56 Combine like terms: 38 + -56 = -18 -6p = -18 Divide each side by '-6'. p = 3 Simplifying p = 3
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