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Simplifying -1((80)(967)(T + -65) + (400)(4186)(T + -65)) = (45)(500)(T + -22) Reorder the terms: -1(80 * 967(-65 + T) + (400)(4186)(T + -65)) = (45)(500)(T + -22) Multiply 80 * 967 -1(77360(-65 + T) + (400)(4186)(T + -65)) = (45)(500)(T + -22) -1((-65 * 77360 + T * 77360) + (400)(4186)(T + -65)) = (45)(500)(T + -22) -1((-5028400 + 77360T) + (400)(4186)(T + -65)) = (45)(500)(T + -22) Reorder the terms: -1(-5028400 + 77360T + 400 * 4186(-65 + T)) = (45)(500)(T + -22) Multiply 400 * 4186 -1(-5028400 + 77360T + 1674400(-65 + T)) = (45)(500)(T + -22) -1(-5028400 + 77360T + (-65 * 1674400 + T * 1674400)) = (45)(500)(T + -22) -1(-5028400 + 77360T + (-108836000 + 1674400T)) = (45)(500)(T + -22) Reorder the terms: -1(-5028400 + -108836000 + 77360T + 1674400T) = (45)(500)(T + -22) Combine like terms: -5028400 + -108836000 = -113864400 -1(-113864400 + 77360T + 1674400T) = (45)(500)(T + -22) Combine like terms: 77360T + 1674400T = 1751760T -1(-113864400 + 1751760T) = (45)(500)(T + -22) (-113864400 * -1 + 1751760T * -1) = (45)(500)(T + -22) (113864400 + -1751760T) = (45)(500)(T + -22) Reorder the terms: 113864400 + -1751760T = 45 * 500(-22 + T) Multiply 45 * 500 113864400 + -1751760T = 22500(-22 + T) 113864400 + -1751760T = (-22 * 22500 + T * 22500) 113864400 + -1751760T = (-495000 + 22500T) Solving 113864400 + -1751760T = -495000 + 22500T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-22500T' to each side of the equation. 113864400 + -1751760T + -22500T = -495000 + 22500T + -22500T Combine like terms: -1751760T + -22500T = -1774260T 113864400 + -1774260T = -495000 + 22500T + -22500T Combine like terms: 22500T + -22500T = 0 113864400 + -1774260T = -495000 + 0 113864400 + -1774260T = -495000 Add '-113864400' to each side of the equation. 113864400 + -113864400 + -1774260T = -495000 + -113864400 Combine like terms: 113864400 + -113864400 = 0 0 + -1774260T = -495000 + -113864400 -1774260T = -495000 + -113864400 Combine like terms: -495000 + -113864400 = -114359400 -1774260T = -114359400 Divide each side by '-1774260'. T = 64.45470224 Simplifying T = 64.45470224
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