9(t-1)-7(t-3)=60

Solution for 9(t-1)-7(t-3)=60 equation:

Simplifying
9(t + -1) + -7(t + -3) = 60

Reorder the terms:
9(-1 + t) + -7(t + -3) = 60
(-1 * 9 + t * 9) + -7(t + -3) = 60
(-9 + 9t) + -7(t + -3) = 60

Reorder the terms:
-9 + 9t + -7(-3 + t) = 60
-9 + 9t + (-3 * -7 + t * -7) = 60
-9 + 9t + (21 + -7t) = 60

Reorder the terms:
-9 + 21 + 9t + -7t = 60

Combine like terms: -9 + 21 = 12
12 + 9t + -7t = 60

Combine like terms: 9t + -7t = 2t
12 + 2t = 60

Solving
12 + 2t = 60

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + 2t = 60 + -12

Combine like terms: 12 + -12 = 0
0 + 2t = 60 + -12
2t = 60 + -12

Combine like terms: 60 + -12 = 48
2t = 48

Divide each side by '2'.
t = 24

Simplifying
t = 24