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 = -5t
-1 + -5t = -3 + 9t + -9t

Combine like terms: 9t + -9t = 0
-1 + -5t = -3 + 0
-1 + -5t = -3

Add '1' to each side of the equation.
-1 + 1 + -5t = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -5t = -3 + 1
-5t = -3 + 1

Combine like terms: -3 + 1 = -2
-5t = -2

Divide each side by '-5'.
t = 0.4

Simplifying
t = 0.4