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Simplifying 100 = 4(6p + 2) Reorder the terms: 100 = 4(2 + 6p) 100 = (2 * 4 + 6p * 4) 100 = (8 + 24p) Solving 100 = 8 + 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. 100 + -24p = 8 + 24p + -24p Combine like terms: 24p + -24p = 0 100 + -24p = 8 + 0 100 + -24p = 8 Add '-100' to each side of the equation. 100 + -100 + -24p = 8 + -100 Combine like terms: 100 + -100 = 0 0 + -24p = 8 + -100 -24p = 8 + -100 Combine like terms: 8 + -100 = -92 -24p = -92 Divide each side by '-24'. p = 3.833333333 Simplifying p = 3.833333333
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