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Simplifying 8p + 21 = -3(-8p + -7) Reorder the terms: 21 + 8p = -3(-8p + -7) Reorder the terms: 21 + 8p = -3(-7 + -8p) 21 + 8p = (-7 * -3 + -8p * -3) 21 + 8p = (21 + 24p) Add '-21' to each side of the equation. 21 + -21 + 8p = 21 + -21 + 24p Combine like terms: 21 + -21 = 0 0 + 8p = 21 + -21 + 24p 8p = 21 + -21 + 24p Combine like terms: 21 + -21 = 0 8p = 0 + 24p 8p = 24p Solving 8p = 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 8p + -24p = 24p + -24p Combine like terms: 8p + -24p = -16p -16p = 24p + -24p Combine like terms: 24p + -24p = 0 -16p = 0 Divide each side by '-16'. p = 0 Simplifying p = 0
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