-7(t-2)-3(3t+1)=-5

Solution for -7(t-2)-3(3t+1)=-5 equation:

Simplifying
-7(t + -2) + -3(3t + 1) = -5

Reorder the terms:
-7(-2 + t) + -3(3t + 1) = -5
(-2 * -7 + t * -7) + -3(3t + 1) = -5
(14 + -7t) + -3(3t + 1) = -5

Reorder the terms:
14 + -7t + -3(1 + 3t) = -5
14 + -7t + (1 * -3 + 3t * -3) = -5
14 + -7t + (-3 + -9t) = -5

Reorder the terms:
14 + -3 + -7t + -9t = -5

Combine like terms: 14 + -3 = 11
11 + -7t + -9t = -5

Combine like terms: -7t + -9t = -16t
11 + -16t = -5

Solving
11 + -16t = -5

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -16t = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -16t = -5 + -11
-16t = -5 + -11

Combine like terms: -5 + -11 = -16
-16t = -16

Divide each side by '-16'.
t = 1

Simplifying
t = 1