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

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

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

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

Remove parenthesis around (-2 + 7t)
-2 + 7t + -1(-3t + -1) = -3(1 + -3t)

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

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

Combine like terms: -2 + 1 = -1
-1 + 7t + 3t = -3(1 + -3t)

Combine like terms: 7t + 3t = 10t
-1 + 10t = -3(1 + -3t)
-1 + 10t = (1 * -3 + -3t * -3)
-1 + 10t = (-3 + 9t)

Solving
-1 + 10t = -3 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
-1 + 10t + -9t = -3 + 9t + -9t

Combine like terms: 10t + -9t = 1t
-1 + 1t = -3 + 9t + -9t

Combine like terms: 9t + -9t = 0
-1 + 1t = -3 + 0
-1 + 1t = -3

Add '1' to each side of the equation.
-1 + 1 + 1t = -3 + 1

Combine like terms: -1 + 1 = 0
0 + 1t = -3 + 1
1t = -3 + 1

Combine like terms: -3 + 1 = -2
1t = -2

Divide each side by '1'.
t = -2

Simplifying
t = -2