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

Solution for -((00)(967)(T-65)+(400)(4186)(T-65))=(45)(500)(T-22) equation:

Simplifying
-1((0)(967)(T + -65) + (400)(4186)(T + -65)) = (45)(500)(T + -22)

Reorder the terms:
-1(0 * 967(-65 + T) + (400)(4186)(T + -65)) = (45)(500)(T + -22)

Multiply 0 * 967
-1(0(-65 + T) + (400)(4186)(T + -65)) = (45)(500)(T + -22)

Anything times zero is zero.
-1(0(-65 + T) + (400)(4186)(T + -65)) = (45)(500)(T + -22)

Reorder the terms:
-1(0 + 400 * 4186(-65 + T)) = (45)(500)(T + -22)

Multiply 400 * 4186
-1(0 + 1674400(-65 + T)) = (45)(500)(T + -22)
-1(0 + (-65 * 1674400 + T * 1674400)) = (45)(500)(T + -22)
-1(0 + (-108836000 + 1674400T)) = (45)(500)(T + -22)

Combine like terms: 0 + -108836000 = -108836000
-1(-108836000 + 1674400T) = (45)(500)(T + -22)
(-108836000 * -1 + 1674400T * -1) = (45)(500)(T + -22)
(108836000 + -1674400T) = (45)(500)(T + -22)

Reorder the terms:
108836000 + -1674400T = 45 * 500(-22 + T)

Multiply 45 * 500
108836000 + -1674400T = 22500(-22 + T)
108836000 + -1674400T = (-22 * 22500 + T * 22500)
108836000 + -1674400T = (-495000 + 22500T)

Solving
108836000 + -1674400T = -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.
108836000 + -1674400T + -22500T = -495000 + 22500T + -22500T

Combine like terms: -1674400T + -22500T = -1696900T
108836000 + -1696900T = -495000 + 22500T + -22500T

Combine like terms: 22500T + -22500T = 0
108836000 + -1696900T = -495000 + 0
108836000 + -1696900T = -495000

Add '-108836000' to each side of the equation.
108836000 + -108836000 + -1696900T = -495000 + -108836000

Combine like terms: 108836000 + -108836000 = 0
0 + -1696900T = -495000 + -108836000
-1696900T = -495000 + -108836000

Combine like terms: -495000 + -108836000 = -109331000
-1696900T = -109331000

Divide each side by '-1696900'.
T = 64.42984265

Simplifying
T = 64.42984265