-7(t-9)-(t+5)=1

Solution for -7(t-9)-(t+5)=1 equation:

Simplifying
-7(t + -9) + -1(t + 5) = 1

Reorder the terms:
-7(-9 + t) + -1(t + 5) = 1
(-9 * -7 + t * -7) + -1(t + 5) = 1
(63 + -7t) + -1(t + 5) = 1

Reorder the terms:
63 + -7t + -1(5 + t) = 1
63 + -7t + (5 * -1 + t * -1) = 1
63 + -7t + (-5 + -1t) = 1

Reorder the terms:
63 + -5 + -7t + -1t = 1

Combine like terms: 63 + -5 = 58
58 + -7t + -1t = 1

Combine like terms: -7t + -1t = -8t
58 + -8t = 1

Solving
58 + -8t = 1

Solving for variable 't'.

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

Add '-58' to each side of the equation.
58 + -58 + -8t = 1 + -58

Combine like terms: 58 + -58 = 0
0 + -8t = 1 + -58
-8t = 1 + -58

Combine like terms: 1 + -58 = -57
-8t = -57

Divide each side by '-8'.
t = 7.125

Simplifying
t = 7.125