-6(t-7)-(t+5)=3

Solution for -6(t-7)-(t+5)=3 equation:

Simplifying
-6(t + -7) + -1(t + 5) = 3

Reorder the terms:
-6(-7 + t) + -1(t + 5) = 3
(-7 * -6 + t * -6) + -1(t + 5) = 3
(42 + -6t) + -1(t + 5) = 3

Reorder the terms:
42 + -6t + -1(5 + t) = 3
42 + -6t + (5 * -1 + t * -1) = 3
42 + -6t + (-5 + -1t) = 3

Reorder the terms:
42 + -5 + -6t + -1t = 3

Combine like terms: 42 + -5 = 37
37 + -6t + -1t = 3

Combine like terms: -6t + -1t = -7t
37 + -7t = 3

Solving
37 + -7t = 3

Solving for variable 't'.

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

Add '-37' to each side of the equation.
37 + -37 + -7t = 3 + -37

Combine like terms: 37 + -37 = 0
0 + -7t = 3 + -37
-7t = 3 + -37

Combine like terms: 3 + -37 = -34
-7t = -34

Divide each side by '-7'.
t = 4.857142857

Simplifying
t = 4.857142857