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Simplifying -120 = -1 + 7(8p + -1) Reorder the terms: -120 = -1 + 7(-1 + 8p) -120 = -1 + (-1 * 7 + 8p * 7) -120 = -1 + (-7 + 56p) Combine like terms: -1 + -7 = -8 -120 = -8 + 56p Solving -120 = -8 + 56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56p' to each side of the equation. -120 + -56p = -8 + 56p + -56p Combine like terms: 56p + -56p = 0 -120 + -56p = -8 + 0 -120 + -56p = -8 Add '120' to each side of the equation. -120 + 120 + -56p = -8 + 120 Combine like terms: -120 + 120 = 0 0 + -56p = -8 + 120 -56p = -8 + 120 Combine like terms: -8 + 120 = 112 -56p = 112 Divide each side by '-56'. p = -2 Simplifying p = -2
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