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Simplifying 3648 = 38[p + 40] Reorder the terms: 3648 = 38[40 + p] 3648 = [40 * 38 + p * 38] 3648 = [1520 + 38p] Solving 3648 = 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. 3648 + -38p = 1520 + 38p + -38p Combine like terms: 38p + -38p = 0 3648 + -38p = 1520 + 0 3648 + -38p = 1520 Add '-3648' to each side of the equation. 3648 + -3648 + -38p = 1520 + -3648 Combine like terms: 3648 + -3648 = 0 0 + -38p = 1520 + -3648 -38p = 1520 + -3648 Combine like terms: 1520 + -3648 = -2128 -38p = -2128 Divide each side by '-38'. p = 56 Simplifying p = 56
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