-7(T-6)-(T+3)=1

Solution for -7(T-6)-(T+3)=1 equation:

Simplifying
-7(T + -6) + -1(T + 3) = 1

Reorder the terms:
-7(-6 + T) + -1(T + 3) = 1
(-6 * -7 + T * -7) + -1(T + 3) = 1
(42 + -7T) + -1(T + 3) = 1

Reorder the terms:
42 + -7T + -1(3 + T) = 1
42 + -7T + (3 * -1 + T * -1) = 1
42 + -7T + (-3 + -1T) = 1

Reorder the terms:
42 + -3 + -7T + -1T = 1

Combine like terms: 42 + -3 = 39
39 + -7T + -1T = 1

Combine like terms: -7T + -1T = -8T
39 + -8T = 1

Solving
39 + -8T = 1

Solving for variable 'T'.

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

Add '-39' to each side of the equation.
39 + -39 + -8T = 1 + -39

Combine like terms: 39 + -39 = 0
0 + -8T = 1 + -39
-8T = 1 + -39

Combine like terms: 1 + -39 = -38
-8T = -38

Divide each side by '-8'.
T = 4.75

Simplifying
T = 4.75