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Simplifying 2(p + 3) * 4 = 4p Reorder the terms: 2(3 + p) * 4 = 4p Reorder the terms for easier multiplication: 2 * 4(3 + p) = 4p Multiply 2 * 4 8(3 + p) = 4p (3 * 8 + p * 8) = 4p (24 + 8p) = 4p Solving 24 + 8p = 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. 24 + 8p + -4p = 4p + -4p Combine like terms: 8p + -4p = 4p 24 + 4p = 4p + -4p Combine like terms: 4p + -4p = 0 24 + 4p = 0 Add '-24' to each side of the equation. 24 + -24 + 4p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4p = 0 + -24 4p = 0 + -24 Combine like terms: 0 + -24 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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