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

Solution for 4(t-1)-3(2t-1)=2-7(3t+1) equation:

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

Reorder the terms:
4(-1 + t) + -3(2t + -1) = 2 + -7(3t + 1)
(-1 * 4 + t * 4) + -3(2t + -1) = 2 + -7(3t + 1)
(-4 + 4t) + -3(2t + -1) = 2 + -7(3t + 1)

Reorder the terms:
-4 + 4t + -3(-1 + 2t) = 2 + -7(3t + 1)
-4 + 4t + (-1 * -3 + 2t * -3) = 2 + -7(3t + 1)
-4 + 4t + (3 + -6t) = 2 + -7(3t + 1)

Reorder the terms:
-4 + 3 + 4t + -6t = 2 + -7(3t + 1)

Combine like terms: -4 + 3 = -1
-1 + 4t + -6t = 2 + -7(3t + 1)

Combine like terms: 4t + -6t = -2t
-1 + -2t = 2 + -7(3t + 1)

Reorder the terms:
-1 + -2t = 2 + -7(1 + 3t)
-1 + -2t = 2 + (1 * -7 + 3t * -7)
-1 + -2t = 2 + (-7 + -21t)

Combine like terms: 2 + -7 = -5
-1 + -2t = -5 + -21t

Solving
-1 + -2t = -5 + -21t

Solving for variable 't'.

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

Add '21t' to each side of the equation.
-1 + -2t + 21t = -5 + -21t + 21t

Combine like terms: -2t + 21t = 19t
-1 + 19t = -5 + -21t + 21t

Combine like terms: -21t + 21t = 0
-1 + 19t = -5 + 0
-1 + 19t = -5

Add '1' to each side of the equation.
-1 + 1 + 19t = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 19t = -5 + 1
19t = -5 + 1

Combine like terms: -5 + 1 = -4
19t = -4

Divide each side by '19'.
t = -0.2105263158

Simplifying
t = -0.2105263158