-(80)(967)(T-65)+(400)(4186)(T-65)=(45)(500)(T-22)

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Solution for -(80)(967)(T-65)+(400)(4186)(T-65)=(45)(500)(T-22) equation:


-(80)(967)(t-65)+(400)(4186)(t-65)=(45)(500)(t-22)

We simplify the equation to the form, which is simple to understand 
-(80)*(967)*(t-65)+(400)*(4186)*(t-65)=(45)*(500)*(t-22)

Reorder the terms in parentheses
multiplication of parentheses
-(+77360)*(t-65)+(400)*(4186)*(t-65)=(45)*(500)*(t-22)



Reorder the terms in parentheses
multiplication of parentheses
-(+77360t-5028400)+(400)*(4186)*(t-65)=(45)*(500)*(t-22)



Remove unnecessary parentheses
-77360t+5028400+(400)*(4186)*(t-65)=(45)*(500)*(t-22)

Reorder the terms in parentheses
multiplication of parentheses
-77360t+5028400+(+1674400)*(t-65)=(45)*(500)*(t-22)



Reorder the terms in parentheses
multiplication of parentheses
-77360t+5028400+(+1674400t-108836000)=(45)*(500)*(t-22)



Remove unnecessary parentheses
-77360t+5028400+1674400t-108836000=+(+45+)+*(+500+)+*(+t-22+)

Reorder the terms in parentheses
multiplication of parentheses
-77360t+5028400+1674400t-108836000=(+22500)*(t-22)



Reorder the terms in parentheses
multiplication of parentheses
-77360t+5028400+1674400t-108836000=(+22500t-495000)



Remove unnecessary parentheses
-77360t+5028400+1674400t-108836000=+22500t-495000

We move all terms containing t to the left and all other terms to the right. 
-77360t+1674400t-22500t=-495000-5028400+108836000

We simplify left and right side of the equation. 
+1574540t=+103312600

We divide both sides of the equation by 1574540 to get t. 
t=65.6144651771

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