14-3(5T-12)=(20T+1)

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Solution for 14-3(5T-12)=(20T+1) equation: 


Simplifying
14 + -3(5T + -12) = (20T + 1)

Reorder the terms:
14 + -3(-12 + 5T) = (20T + 1)
14 + (-12 * -3 + 5T * -3) = (20T + 1)
14 + (36 + -15T) = (20T + 1)

Combine like terms: 14 + 36 = 50
50 + -15T = (20T + 1)

Reorder the terms:
50 + -15T = (1 + 20T)

Remove parenthesis around (1 + 20T)
50 + -15T = 1 + 20T

Solving
50 + -15T = 1 + 20T

Solving for variable 'T'.

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

Add '-20T' to each side of the equation.
50 + -15T + -20T = 1 + 20T + -20T

Combine like terms: -15T + -20T = -35T
50 + -35T = 1 + 20T + -20T

Combine like terms: 20T + -20T = 0
50 + -35T = 1 + 0
50 + -35T = 1

Add '-50' to each side of the equation.
50 + -50 + -35T = 1 + -50

Combine like terms: 50 + -50 = 0
0 + -35T = 1 + -50
-35T = 1 + -50

Combine like terms: 1 + -50 = -49
-35T = -49

Divide each side by '-35'.
T = 1.4

Simplifying
T = 1.4

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