(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 = -2t
-2t = -3 + 9t + -9t

Combine like terms: 9t + -9t = 0
-2t = -3 + 0
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5