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Simplifying 3(4 + 4p) = 4(p + -5) (4 * 3 + 4p * 3) = 4(p + -5) (12 + 12p) = 4(p + -5) Reorder the terms: 12 + 12p = 4(-5 + p) 12 + 12p = (-5 * 4 + p * 4) 12 + 12p = (-20 + 4p) Solving 12 + 12p = -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. 12 + 12p + -4p = -20 + 4p + -4p Combine like terms: 12p + -4p = 8p 12 + 8p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + 8p = -20 + 0 12 + 8p = -20 Add '-12' to each side of the equation. 12 + -12 + 8p = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 8p = -20 + -12 8p = -20 + -12 Combine like terms: -20 + -12 = -32 8p = -32 Divide each side by '8'. p = -4 Simplifying p = -4
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