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Simplifying 30 + -8p = -5(6 + 4p) 30 + -8p = (6 * -5 + 4p * -5) 30 + -8p = (-30 + -20p) Solving 30 + -8p = -30 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 30 + -8p + 20p = -30 + -20p + 20p Combine like terms: -8p + 20p = 12p 30 + 12p = -30 + -20p + 20p Combine like terms: -20p + 20p = 0 30 + 12p = -30 + 0 30 + 12p = -30 Add '-30' to each side of the equation. 30 + -30 + 12p = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 12p = -30 + -30 12p = -30 + -30 Combine like terms: -30 + -30 = -60 12p = -60 Divide each side by '12'. p = -5 Simplifying p = -5
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