-9(t-7)-(t+8)=1

Solution for -9(t-7)-(t+8)=1 equation:

Simplifying
-9(t + -7) + -1(t + 8) = 1

Reorder the terms:
-9(-7 + t) + -1(t + 8) = 1
(-7 * -9 + t * -9) + -1(t + 8) = 1
(63 + -9t) + -1(t + 8) = 1

Reorder the terms:
63 + -9t + -1(8 + t) = 1
63 + -9t + (8 * -1 + t * -1) = 1
63 + -9t + (-8 + -1t) = 1

Reorder the terms:
63 + -8 + -9t + -1t = 1

Combine like terms: 63 + -8 = 55
55 + -9t + -1t = 1

Combine like terms: -9t + -1t = -10t
55 + -10t = 1

Solving
55 + -10t = 1

Solving for variable 't'.

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

Add '-55' to each side of the equation.
55 + -55 + -10t = 1 + -55

Combine like terms: 55 + -55 = 0
0 + -10t = 1 + -55
-10t = 1 + -55

Combine like terms: 1 + -55 = -54
-10t = -54

Divide each side by '-10'.
t = 5.4

Simplifying
t = 5.4