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

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

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

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

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

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

Multiply -1 * -2
-2 + 7t + 2 = 3(1 + -3t)

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

Combine like terms: -2 + 2 = 0
0 + 7t = 3(1 + -3t)
7t = 3(1 + -3t)
7t = (1 * 3 + -3t * 3)
7t = (3 + -9t)

Solving
7t = 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.
7t + 9t = 3 + -9t + 9t

Combine like terms: 7t + 9t = 16t
16t = 3 + -9t + 9t

Combine like terms: -9t + 9t = 0
16t = 3 + 0
16t = 3

Divide each side by '16'.
t = 0.1875

Simplifying
t = 0.1875