-8(t-9)+(t+33)=1

Solution for -8(t-9)+(t+33)=1 equation:

Simplifying
-8(t + -9) + (t + 33) = 1

Reorder the terms:
-8(-9 + t) + (t + 33) = 1
(-9 * -8 + t * -8) + (t + 33) = 1
(72 + -8t) + (t + 33) = 1

Reorder the terms:
72 + -8t + (33 + t) = 1

Remove parenthesis around (33 + t)
72 + -8t + 33 + t = 1

Reorder the terms:
72 + 33 + -8t + t = 1

Combine like terms: 72 + 33 = 105
105 + -8t + t = 1

Combine like terms: -8t + t = -7t
105 + -7t = 1

Solving
105 + -7t = 1

Solving for variable 't'.

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

Add '-105' to each side of the equation.
105 + -105 + -7t = 1 + -105

Combine like terms: 105 + -105 = 0
0 + -7t = 1 + -105
-7t = 1 + -105

Combine like terms: 1 + -105 = -104
-7t = -104

Divide each side by '-7'.
t = 14.85714286

Simplifying
t = 14.85714286