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Simplifying 120 = -2p + -6(5p + -4) Reorder the terms: 120 = -2p + -6(-4 + 5p) 120 = -2p + (-4 * -6 + 5p * -6) 120 = -2p + (24 + -30p) Reorder the terms: 120 = 24 + -2p + -30p Combine like terms: -2p + -30p = -32p 120 = 24 + -32p Solving 120 = 24 + -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. 120 + 32p = 24 + -32p + 32p Combine like terms: -32p + 32p = 0 120 + 32p = 24 + 0 120 + 32p = 24 Add '-120' to each side of the equation. 120 + -120 + 32p = 24 + -120 Combine like terms: 120 + -120 = 0 0 + 32p = 24 + -120 32p = 24 + -120 Combine like terms: 24 + -120 = -96 32p = -96 Divide each side by '32'. p = -3 Simplifying p = -3
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