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

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

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

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

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

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

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

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

Combine like terms: 7t + 3t = 10t
-3 + 10t = -3(t + -3t)

Combine like terms: t + -3t = -2t
-3 + 10t = -3(-2t)

Remove parenthesis around (-2t)
-3 + 10t = -3 * -2t

Multiply -3 * -2
-3 + 10t = 6t

Solving
-3 + 10t = 6t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-6t' to each side of the equation.
-3 + 10t + -6t = 6t + -6t

Combine like terms: 10t + -6t = 4t
-3 + 4t = 6t + -6t

Combine like terms: 6t + -6t = 0
-3 + 4t = 0

Add '3' to each side of the equation.
-3 + 3 + 4t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4t = 0 + 3
4t = 0 + 3

Combine like terms: 0 + 3 = 3
4t = 3

Divide each side by '4'.
t = 0.75

Simplifying
t = 0.75