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

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

Simplifying
7t + -2 + -3t + 1 = 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 = 4t
-1 + 4t = 3(1 + -3t)
-1 + 4t = (1 * 3 + -3t * 3)
-1 + 4t = (3 + -9t)

Solving
-1 + 4t = 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 + 4t + 9t = 3 + -9t + 9t

Combine like terms: 4t + 9t = 13t
-1 + 13t = 3 + -9t + 9t

Combine like terms: -9t + 9t = 0
-1 + 13t = 3 + 0
-1 + 13t = 3

Add '1' to each side of the equation.
-1 + 1 + 13t = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 13t = 3 + 1
13t = 3 + 1

Combine like terms: 3 + 1 = 4
13t = 4

Divide each side by '13'.
t = 0.3076923077

Simplifying
t = 0.3076923077