-5(t-9)-(t+3)=3

Solution for -5(t-9)-(t+3)=3 equation:

Simplifying
-5(t + -9) + -1(t + 3) = 3

Reorder the terms:
-5(-9 + t) + -1(t + 3) = 3
(-9 * -5 + t * -5) + -1(t + 3) = 3
(45 + -5t) + -1(t + 3) = 3

Reorder the terms:
45 + -5t + -1(3 + t) = 3
45 + -5t + (3 * -1 + t * -1) = 3
45 + -5t + (-3 + -1t) = 3

Reorder the terms:
45 + -3 + -5t + -1t = 3

Combine like terms: 45 + -3 = 42
42 + -5t + -1t = 3

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

Solving
42 + -6t = 3

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 + -6t = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -6t = 3 + -42
-6t = 3 + -42

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

Divide each side by '-6'.
t = 6.5

Simplifying
t = 6.5