8(3T+1)=4(11T+10)

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Solution for 8(3T+1)=4(11T+10) equation: 


Simplifying
8(3T + 1) = 4(11T + 10)

Reorder the terms:
8(1 + 3T) = 4(11T + 10)
(1 * 8 + 3T * 8) = 4(11T + 10)
(8 + 24T) = 4(11T + 10)

Reorder the terms:
8 + 24T = 4(10 + 11T)
8 + 24T = (10 * 4 + 11T * 4)
8 + 24T = (40 + 44T)

Solving
8 + 24T = 40 + 44T

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '-44T' to each side of the equation.
8 + 24T + -44T = 40 + 44T + -44T

Combine like terms: 24T + -44T = -20T
8 + -20T = 40 + 44T + -44T

Combine like terms: 44T + -44T = 0
8 + -20T = 40 + 0
8 + -20T = 40

Add '-8' to each side of the equation.
8 + -8 + -20T = 40 + -8

Combine like terms: 8 + -8 = 0
0 + -20T = 40 + -8
-20T = 40 + -8

Combine like terms: 40 + -8 = 32
-20T = 32

Divide each side by '-20'.
T = -1.6

Simplifying
T = -1.6

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