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

Solution for -9(t-8)-(t+4)=1 equation:

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

Reorder the terms:
-9(-8 + t) + -1(t + 4) = 1
(-8 * -9 + t * -9) + -1(t + 4) = 1
(72 + -9t) + -1(t + 4) = 1

Reorder the terms:
72 + -9t + -1(4 + t) = 1
72 + -9t + (4 * -1 + t * -1) = 1
72 + -9t + (-4 + -1t) = 1

Reorder the terms:
72 + -4 + -9t + -1t = 1

Combine like terms: 72 + -4 = 68
68 + -9t + -1t = 1

Combine like terms: -9t + -1t = -10t
68 + -10t = 1

Solving
68 + -10t = 1

Solving for variable 't'.

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

Add '-68' to each side of the equation.
68 + -68 + -10t = 1 + -68

Combine like terms: 68 + -68 = 0
0 + -10t = 1 + -68
-10t = 1 + -68

Combine like terms: 1 + -68 = -67
-10t = -67

Divide each side by '-10'.
t = 6.7

Simplifying
t = 6.7