-8(t-5)-(t+9)=1

Solution for -8(t-5)-(t+9)=1 equation:

Simplifying
-8(t + -5) + -1(t + 9) = 1

Reorder the terms:
-8(-5 + t) + -1(t + 9) = 1
(-5 * -8 + t * -8) + -1(t + 9) = 1
(40 + -8t) + -1(t + 9) = 1

Reorder the terms:
40 + -8t + -1(9 + t) = 1
40 + -8t + (9 * -1 + t * -1) = 1
40 + -8t + (-9 + -1t) = 1

Reorder the terms:
40 + -9 + -8t + -1t = 1

Combine like terms: 40 + -9 = 31
31 + -8t + -1t = 1

Combine like terms: -8t + -1t = -9t
31 + -9t = 1

Solving
31 + -9t = 1

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -9t = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -9t = 1 + -31
-9t = 1 + -31

Combine like terms: 1 + -31 = -30
-9t = -30

Divide each side by '-9'.
t = 3.333333333

Simplifying
t = 3.333333333