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Simplifying 4(p + 6) = 8p Reorder the terms: 4(6 + p) = 8p (6 * 4 + p * 4) = 8p (24 + 4p) = 8p Solving 24 + 4p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 24 + 4p + -8p = 8p + -8p Combine like terms: 4p + -8p = -4p 24 + -4p = 8p + -8p Combine like terms: 8p + -8p = 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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