-4(T-5)+8T=7T-2

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Solution for -4(T-5)+8T=7T-2 equation: 


Simplifying
-4(T + -5) + 8T = 7T + -2

Reorder the terms:
-4(-5 + T) + 8T = 7T + -2
(-5 * -4 + T * -4) + 8T = 7T + -2
(20 + -4T) + 8T = 7T + -2

Combine like terms: -4T + 8T = 4T
20 + 4T = 7T + -2

Reorder the terms:
20 + 4T = -2 + 7T

Solving
20 + 4T = -2 + 7T

Solving for variable 'T'.

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

Add '-7T' to each side of the equation.
20 + 4T + -7T = -2 + 7T + -7T

Combine like terms: 4T + -7T = -3T
20 + -3T = -2 + 7T + -7T

Combine like terms: 7T + -7T = 0
20 + -3T = -2 + 0
20 + -3T = -2

Add '-20' to each side of the equation.
20 + -20 + -3T = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -3T = -2 + -20
-3T = -2 + -20

Combine like terms: -2 + -20 = -22
-3T = -22

Divide each side by '-3'.
T = 7.333333333

Simplifying
T = 7.333333333

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