-6(t-8)-(t+6)=7

Solution for -6(t-8)-(t+6)=7 equation:

Simplifying
-6(t + -8) + -1(t + 6) = 7

Reorder the terms:
-6(-8 + t) + -1(t + 6) = 7
(-8 * -6 + t * -6) + -1(t + 6) = 7
(48 + -6t) + -1(t + 6) = 7

Reorder the terms:
48 + -6t + -1(6 + t) = 7
48 + -6t + (6 * -1 + t * -1) = 7
48 + -6t + (-6 + -1t) = 7

Reorder the terms:
48 + -6 + -6t + -1t = 7

Combine like terms: 48 + -6 = 42
42 + -6t + -1t = 7

Combine like terms: -6t + -1t = -7t
42 + -7t = 7

Solving
42 + -7t = 7

Solving for variable 't'.

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

Add '-42' to each side of the equation.
42 + -42 + -7t = 7 + -42

Combine like terms: 42 + -42 = 0
0 + -7t = 7 + -42
-7t = 7 + -42

Combine like terms: 7 + -42 = -35
-7t = -35

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

Simplifying
t = 5