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Simplifying 8 + 8p = 3(4p + -8) Reorder the terms: 8 + 8p = 3(-8 + 4p) 8 + 8p = (-8 * 3 + 4p * 3) 8 + 8p = (-24 + 12p) Solving 8 + 8p = -24 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 8 + 8p + -12p = -24 + 12p + -12p Combine like terms: 8p + -12p = -4p 8 + -4p = -24 + 12p + -12p Combine like terms: 12p + -12p = 0 8 + -4p = -24 + 0 8 + -4p = -24 Add '-8' to each side of the equation. 8 + -8 + -4p = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = -24 + -8 -4p = -24 + -8 Combine like terms: -24 + -8 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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