-4(t-8)-(t+9)=2

Solution for -4(t-8)-(t+9)=2 equation:

Simplifying
-4(t + -8) + -1(t + 9) = 2

Reorder the terms:
-4(-8 + t) + -1(t + 9) = 2
(-8 * -4 + t * -4) + -1(t + 9) = 2
(32 + -4t) + -1(t + 9) = 2

Reorder the terms:
32 + -4t + -1(9 + t) = 2
32 + -4t + (9 * -1 + t * -1) = 2
32 + -4t + (-9 + -1t) = 2

Reorder the terms:
32 + -9 + -4t + -1t = 2

Combine like terms: 32 + -9 = 23
23 + -4t + -1t = 2

Combine like terms: -4t + -1t = -5t
23 + -5t = 2

Solving
23 + -5t = 2

Solving for variable 't'.

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

Add '-23' to each side of the equation.
23 + -23 + -5t = 2 + -23

Combine like terms: 23 + -23 = 0
0 + -5t = 2 + -23
-5t = 2 + -23

Combine like terms: 2 + -23 = -21
-5t = -21

Divide each side by '-5'.
t = 4.2

Simplifying
t = 4.2