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Simplifying -8(5p + -8) + -12p = -7(8 + 9p) + p Reorder the terms: -8(-8 + 5p) + -12p = -7(8 + 9p) + p (-8 * -8 + 5p * -8) + -12p = -7(8 + 9p) + p (64 + -40p) + -12p = -7(8 + 9p) + p Combine like terms: -40p + -12p = -52p 64 + -52p = -7(8 + 9p) + p 64 + -52p = (8 * -7 + 9p * -7) + p 64 + -52p = (-56 + -63p) + p Combine like terms: -63p + p = -62p 64 + -52p = -56 + -62p Solving 64 + -52p = -56 + -62p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '62p' to each side of the equation. 64 + -52p + 62p = -56 + -62p + 62p Combine like terms: -52p + 62p = 10p 64 + 10p = -56 + -62p + 62p Combine like terms: -62p + 62p = 0 64 + 10p = -56 + 0 64 + 10p = -56 Add '-64' to each side of the equation. 64 + -64 + 10p = -56 + -64 Combine like terms: 64 + -64 = 0 0 + 10p = -56 + -64 10p = -56 + -64 Combine like terms: -56 + -64 = -120 10p = -120 Divide each side by '10'. p = -12 Simplifying p = -12
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