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Simplifying -8p + 4 = -1(1 + 7p) Reorder the terms: 4 + -8p = -1(1 + 7p) 4 + -8p = (1 * -1 + 7p * -1) 4 + -8p = (-1 + -7p) Solving 4 + -8p = -1 + -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. 4 + -8p + 7p = -1 + -7p + 7p Combine like terms: -8p + 7p = -1p 4 + -1p = -1 + -7p + 7p Combine like terms: -7p + 7p = 0 4 + -1p = -1 + 0 4 + -1p = -1 Add '-4' to each side of the equation. 4 + -4 + -1p = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = -1 + -4 -1p = -1 + -4 Combine like terms: -1 + -4 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5
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