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

Solution for 6(t-1)+4=3(7t+1) equation:

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

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

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

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

Reorder the terms:
-2 + 6t = 3(1 + 7t)
-2 + 6t = (1 * 3 + 7t * 3)
-2 + 6t = (3 + 21t)

Solving
-2 + 6t = 3 + 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.
-2 + 6t + -21t = 3 + 21t + -21t

Combine like terms: 6t + -21t = -15t
-2 + -15t = 3 + 21t + -21t

Combine like terms: 21t + -21t = 0
-2 + -15t = 3 + 0
-2 + -15t = 3

Add '2' to each side of the equation.
-2 + 2 + -15t = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -15t = 3 + 2
-15t = 3 + 2

Combine like terms: 3 + 2 = 5
-15t = 5

Divide each side by '-15'.
t = -0.3333333333

Simplifying
t = -0.3333333333