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Simplifying 123 = 6(4p + 4) + 3 Reorder the terms: 123 = 6(4 + 4p) + 3 123 = (4 * 6 + 4p * 6) + 3 123 = (24 + 24p) + 3 Reorder the terms: 123 = 24 + 3 + 24p Combine like terms: 24 + 3 = 27 123 = 27 + 24p Solving 123 = 27 + 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. 123 + -24p = 27 + 24p + -24p Combine like terms: 24p + -24p = 0 123 + -24p = 27 + 0 123 + -24p = 27 Add '-123' to each side of the equation. 123 + -123 + -24p = 27 + -123 Combine like terms: 123 + -123 = 0 0 + -24p = 27 + -123 -24p = 27 + -123 Combine like terms: 27 + -123 = -96 -24p = -96 Divide each side by '-24'. p = 4 Simplifying p = 4
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