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Simplifying -8(4p + 2) = 9 + -7p Reorder the terms: -8(2 + 4p) = 9 + -7p (2 * -8 + 4p * -8) = 9 + -7p (-16 + -32p) = 9 + -7p Solving -16 + -32p = 9 + -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. -16 + -32p + 7p = 9 + -7p + 7p Combine like terms: -32p + 7p = -25p -16 + -25p = 9 + -7p + 7p Combine like terms: -7p + 7p = 0 -16 + -25p = 9 + 0 -16 + -25p = 9 Add '16' to each side of the equation. -16 + 16 + -25p = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -25p = 9 + 16 -25p = 9 + 16 Combine like terms: 9 + 16 = 25 -25p = 25 Divide each side by '-25'. p = -1 Simplifying p = -1
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