6(8T+1)=3(T-8)+3(T-6)

Solution for 6(8T+1)=3(T-8)+3(T-6) equation:

Simplifying
6(8T + 1) = 3(T + -8) + 3(T + -6)

Reorder the terms:
6(1 + 8T) = 3(T + -8) + 3(T + -6)
(1 * 6 + 8T * 6) = 3(T + -8) + 3(T + -6)
(6 + 48T) = 3(T + -8) + 3(T + -6)

Reorder the terms:
6 + 48T = 3(-8 + T) + 3(T + -6)
6 + 48T = (-8 * 3 + T * 3) + 3(T + -6)
6 + 48T = (-24 + 3T) + 3(T + -6)

Reorder the terms:
6 + 48T = -24 + 3T + 3(-6 + T)
6 + 48T = -24 + 3T + (-6 * 3 + T * 3)
6 + 48T = -24 + 3T + (-18 + 3T)

Reorder the terms:
6 + 48T = -24 + -18 + 3T + 3T

Combine like terms: -24 + -18 = -42
6 + 48T = -42 + 3T + 3T

Combine like terms: 3T + 3T = 6T
6 + 48T = -42 + 6T

Solving
6 + 48T = -42 + 6T

Solving for variable 'T'.

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

Add '-6T' to each side of the equation.
6 + 48T + -6T = -42 + 6T + -6T

Combine like terms: 48T + -6T = 42T
6 + 42T = -42 + 6T + -6T

Combine like terms: 6T + -6T = 0
6 + 42T = -42 + 0
6 + 42T = -42

Add '-6' to each side of the equation.
6 + -6 + 42T = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 42T = -42 + -6
42T = -42 + -6

Combine like terms: -42 + -6 = -48
42T = -48

Divide each side by '42'.
T = -1.142857143

Simplifying
T = -1.142857143