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Simplifying 2576 = 46(p + 20) Reorder the terms: 2576 = 46(20 + p) 2576 = (20 * 46 + p * 46) 2576 = (920 + 46p) Solving 2576 = 920 + 46p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46p' to each side of the equation. 2576 + -46p = 920 + 46p + -46p Combine like terms: 46p + -46p = 0 2576 + -46p = 920 + 0 2576 + -46p = 920 Add '-2576' to each side of the equation. 2576 + -2576 + -46p = 920 + -2576 Combine like terms: 2576 + -2576 = 0 0 + -46p = 920 + -2576 -46p = 920 + -2576 Combine like terms: 920 + -2576 = -1656 -46p = -1656 Divide each side by '-46'. p = 36 Simplifying p = 36
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