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

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

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

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

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

Reorder the terms:
32 + -4 + -8t + -1t = 1

Combine like terms: 32 + -4 = 28
28 + -8t + -1t = 1

Combine like terms: -8t + -1t = -9t
28 + -9t = 1

Solving
28 + -9t = 1

Solving for variable 't'.

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

Add '-28' to each side of the equation.
28 + -28 + -9t = 1 + -28

Combine like terms: 28 + -28 = 0
0 + -9t = 1 + -28
-9t = 1 + -28

Combine like terms: 1 + -28 = -27
-9t = -27

Divide each side by '-9'.
t = 3

Simplifying
t = 3