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Simplifying 3800 = 38(p + 40) Reorder the terms: 3800 = 38(40 + p) 3800 = (40 * 38 + p * 38) 3800 = (1520 + 38p) Solving 3800 = 1520 + 38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38p' to each side of the equation. 3800 + -38p = 1520 + 38p + -38p Combine like terms: 38p + -38p = 0 3800 + -38p = 1520 + 0 3800 + -38p = 1520 Add '-3800' to each side of the equation. 3800 + -3800 + -38p = 1520 + -3800 Combine like terms: 3800 + -3800 = 0 0 + -38p = 1520 + -3800 -38p = 1520 + -3800 Combine like terms: 1520 + -3800 = -2280 -38p = -2280 Divide each side by '-38'. p = 60 Simplifying p = 60
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