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Simplifying 2145 = 39(p + 20) Reorder the terms: 2145 = 39(20 + p) 2145 = (20 * 39 + p * 39) 2145 = (780 + 39p) Solving 2145 = 780 + 39p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-39p' to each side of the equation. 2145 + -39p = 780 + 39p + -39p Combine like terms: 39p + -39p = 0 2145 + -39p = 780 + 0 2145 + -39p = 780 Add '-2145' to each side of the equation. 2145 + -2145 + -39p = 780 + -2145 Combine like terms: 2145 + -2145 = 0 0 + -39p = 780 + -2145 -39p = 780 + -2145 Combine like terms: 780 + -2145 = -1365 -39p = -1365 Divide each side by '-39'. p = 35 Simplifying p = 35
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