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Simplifying 8(p + 7) = 20 + -4p Reorder the terms: 8(7 + p) = 20 + -4p (7 * 8 + p * 8) = 20 + -4p (56 + 8p) = 20 + -4p Solving 56 + 8p = 20 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 56 + 8p + 4p = 20 + -4p + 4p Combine like terms: 8p + 4p = 12p 56 + 12p = 20 + -4p + 4p Combine like terms: -4p + 4p = 0 56 + 12p = 20 + 0 56 + 12p = 20 Add '-56' to each side of the equation. 56 + -56 + 12p = 20 + -56 Combine like terms: 56 + -56 = 0 0 + 12p = 20 + -56 12p = 20 + -56 Combine like terms: 20 + -56 = -36 12p = -36 Divide each side by '12'. p = -3 Simplifying p = -3
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