-7(t-9)-(t+6)=3

Solution for -7(t-9)-(t+6)=3 equation:

Simplifying
-7(t + -9) + -1(t + 6) = 3

Reorder the terms:
-7(-9 + t) + -1(t + 6) = 3
(-9 * -7 + t * -7) + -1(t + 6) = 3
(63 + -7t) + -1(t + 6) = 3

Reorder the terms:
63 + -7t + -1(6 + t) = 3
63 + -7t + (6 * -1 + t * -1) = 3
63 + -7t + (-6 + -1t) = 3

Reorder the terms:
63 + -6 + -7t + -1t = 3

Combine like terms: 63 + -6 = 57
57 + -7t + -1t = 3

Combine like terms: -7t + -1t = -8t
57 + -8t = 3

Solving
57 + -8t = 3

Solving for variable 't'.

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

Add '-57' to each side of the equation.
57 + -57 + -8t = 3 + -57

Combine like terms: 57 + -57 = 0
0 + -8t = 3 + -57
-8t = 3 + -57

Combine like terms: 3 + -57 = -54
-8t = -54

Divide each side by '-8'.
t = 6.75

Simplifying
t = 6.75