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Simplifying 8p + 8 = 8(-3 + 3p) Reorder the terms: 8 + 8p = 8(-3 + 3p) 8 + 8p = (-3 * 8 + 3p * 8) 8 + 8p = (-24 + 24p) Solving 8 + 8p = -24 + 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. 8 + 8p + -24p = -24 + 24p + -24p Combine like terms: 8p + -24p = -16p 8 + -16p = -24 + 24p + -24p Combine like terms: 24p + -24p = 0 8 + -16p = -24 + 0 8 + -16p = -24 Add '-8' to each side of the equation. 8 + -8 + -16p = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -16p = -24 + -8 -16p = -24 + -8 Combine like terms: -24 + -8 = -32 -16p = -32 Divide each side by '-16'. p = 2 Simplifying p = 2
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