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Simplifying -1p + 39 = -5(p + -7) Reorder the terms: 39 + -1p = -5(p + -7) Reorder the terms: 39 + -1p = -5(-7 + p) 39 + -1p = (-7 * -5 + p * -5) 39 + -1p = (35 + -5p) Solving 39 + -1p = 35 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 39 + -1p + 5p = 35 + -5p + 5p Combine like terms: -1p + 5p = 4p 39 + 4p = 35 + -5p + 5p Combine like terms: -5p + 5p = 0 39 + 4p = 35 + 0 39 + 4p = 35 Add '-39' to each side of the equation. 39 + -39 + 4p = 35 + -39 Combine like terms: 39 + -39 = 0 0 + 4p = 35 + -39 4p = 35 + -39 Combine like terms: 35 + -39 = -4 4p = -4 Divide each side by '4'. p = -1 Simplifying p = -1
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