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Simplifying -4p + 31 = -1(7p + -7) Reorder the terms: 31 + -4p = -1(7p + -7) Reorder the terms: 31 + -4p = -1(-7 + 7p) 31 + -4p = (-7 * -1 + 7p * -1) 31 + -4p = (7 + -7p) Solving 31 + -4p = 7 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 31 + -4p + 7p = 7 + -7p + 7p Combine like terms: -4p + 7p = 3p 31 + 3p = 7 + -7p + 7p Combine like terms: -7p + 7p = 0 31 + 3p = 7 + 0 31 + 3p = 7 Add '-31' to each side of the equation. 31 + -31 + 3p = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 3p = 7 + -31 3p = 7 + -31 Combine like terms: 7 + -31 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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