-8(t-9)+(t+3)=1

Solution for -8(t-9)+(t+3)=1 equation:

Simplifying
-8(t + -9) + (t + 3) = 1

Reorder the terms:
-8(-9 + t) + (t + 3) = 1
(-9 * -8 + t * -8) + (t + 3) = 1
(72 + -8t) + (t + 3) = 1

Reorder the terms:
72 + -8t + (3 + t) = 1

Remove parenthesis around (3 + t)
72 + -8t + 3 + t = 1

Reorder the terms:
72 + 3 + -8t + t = 1

Combine like terms: 72 + 3 = 75
75 + -8t + t = 1

Combine like terms: -8t + t = -7t
75 + -7t = 1

Solving
75 + -7t = 1

Solving for variable 't'.

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

Add '-75' to each side of the equation.
75 + -75 + -7t = 1 + -75

Combine like terms: 75 + -75 = 0
0 + -7t = 1 + -75
-7t = 1 + -75

Combine like terms: 1 + -75 = -74
-7t = -74

Divide each side by '-7'.
t = 10.57142857

Simplifying
t = 10.57142857