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Simplifying 24 + 8p = -8(p + 5) Reorder the terms: 24 + 8p = -8(5 + p) 24 + 8p = (5 * -8 + p * -8) 24 + 8p = (-40 + -8p) Solving 24 + 8p = -40 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 24 + 8p + 8p = -40 + -8p + 8p Combine like terms: 8p + 8p = 16p 24 + 16p = -40 + -8p + 8p Combine like terms: -8p + 8p = 0 24 + 16p = -40 + 0 24 + 16p = -40 Add '-24' to each side of the equation. 24 + -24 + 16p = -40 + -24 Combine like terms: 24 + -24 = 0 0 + 16p = -40 + -24 16p = -40 + -24 Combine like terms: -40 + -24 = -64 16p = -64 Divide each side by '16'. p = -4 Simplifying p = -4
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