6(4T+1)-13=T-(T+6)

Solution for 6(4T+1)-13=T-(T+6) equation:

Simplifying
6(4T + 1) + -13 = T + -1(T + 6)

Reorder the terms:
6(1 + 4T) + -13 = T + -1(T + 6)
(1 * 6 + 4T * 6) + -13 = T + -1(T + 6)
(6 + 24T) + -13 = T + -1(T + 6)

Reorder the terms:
6 + -13 + 24T = T + -1(T + 6)

Combine like terms: 6 + -13 = -7
-7 + 24T = T + -1(T + 6)

Reorder the terms:
-7 + 24T = T + -1(6 + T)
-7 + 24T = T + (6 * -1 + T * -1)
-7 + 24T = T + (-6 + -1T)

Reorder the terms:
-7 + 24T = -6 + T + -1T

Combine like terms: T + -1T = 0
-7 + 24T = -6 + 0
-7 + 24T = -6

Solving
-7 + 24T = -6

Solving for variable 'T'.

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

Add '7' to each side of the equation.
-7 + 7 + 24T = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 24T = -6 + 7
24T = -6 + 7

Combine like terms: -6 + 7 = 1
24T = 1

Divide each side by '24'.
T = 0.04166666667

Simplifying
T = 0.04166666667