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Simplifying -105 = -8(-2 + -4p) + 7 -105 = (-2 * -8 + -4p * -8) + 7 -105 = (16 + 32p) + 7 Reorder the terms: -105 = 16 + 7 + 32p Combine like terms: 16 + 7 = 23 -105 = 23 + 32p Solving -105 = 23 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. -105 + -32p = 23 + 32p + -32p Combine like terms: 32p + -32p = 0 -105 + -32p = 23 + 0 -105 + -32p = 23 Add '105' to each side of the equation. -105 + 105 + -32p = 23 + 105 Combine like terms: -105 + 105 = 0 0 + -32p = 23 + 105 -32p = 23 + 105 Combine like terms: 23 + 105 = 128 -32p = 128 Divide each side by '-32'. p = -4 Simplifying p = -4
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