-6(t-7)-(t+3)=4

Solution for -6(t-7)-(t+3)=4 equation:

Simplifying
-6(t + -7) + -1(t + 3) = 4

Reorder the terms:
-6(-7 + t) + -1(t + 3) = 4
(-7 * -6 + t * -6) + -1(t + 3) = 4
(42 + -6t) + -1(t + 3) = 4

Reorder the terms:
42 + -6t + -1(3 + t) = 4
42 + -6t + (3 * -1 + t * -1) = 4
42 + -6t + (-3 + -1t) = 4

Reorder the terms:
42 + -3 + -6t + -1t = 4

Combine like terms: 42 + -3 = 39
39 + -6t + -1t = 4

Combine like terms: -6t + -1t = -7t
39 + -7t = 4

Solving
39 + -7t = 4

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 + -7t = 4 + -39

Combine like terms: 39 + -39 = 0
0 + -7t = 4 + -39
-7t = 4 + -39

Combine like terms: 4 + -39 = -35
-7t = -35

Divide each side by '-7'.
t = 5

Simplifying
t = 5