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Simplifying 120 = -6(1 + -7p) 120 = (1 * -6 + -7p * -6) 120 = (-6 + 42p) Solving 120 = -6 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. 120 + -42p = -6 + 42p + -42p Combine like terms: 42p + -42p = 0 120 + -42p = -6 + 0 120 + -42p = -6 Add '-120' to each side of the equation. 120 + -120 + -42p = -6 + -120 Combine like terms: 120 + -120 = 0 0 + -42p = -6 + -120 -42p = -6 + -120 Combine like terms: -6 + -120 = -126 -42p = -126 Divide each side by '-42'. p = 3 Simplifying p = 3
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