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

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

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

Combine like terms: 7t + -2t = 5t
(5t) + -1(-3t + 1) = -3(1 + -3t)
(5t) + -1(-3t + 1) = -3(1 + -3t)

Reorder the terms:
(5t) + -1(1 + -3t) = -3(1 + -3t)
(5t) + (1 * -1 + -3t * -1) = -3(1 + -3t)
(5t) + (-1 + 3t) = -3(1 + -3t)

Reorder the terms:
-1 + (5t) + 3t = -3(1 + -3t)

Combine like terms: (5t) + 3t = 8t
-1 + 8t = -3(1 + -3t)
-1 + 8t = (1 * -3 + -3t * -3)
-1 + 8t = (-3 + 9t)

Solving
-1 + 8t = -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 + 8t + -9t = -3 + 9t + -9t

Combine like terms: 8t + -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