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

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

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

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

Remove parenthesis around (-1 + 6t)
-1 + 6t = 3(t + 1) + 6

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

Reorder the terms:
-1 + 6t = 3 + 6 + 3t

Combine like terms: 3 + 6 = 9
-1 + 6t = 9 + 3t

Solving
-1 + 6t = 9 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-1 + 6t + -3t = 9 + 3t + -3t

Combine like terms: 6t + -3t = 3t
-1 + 3t = 9 + 3t + -3t

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

Add '1' to each side of the equation.
-1 + 1 + 3t = 9 + 1

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

Combine like terms: 9 + 1 = 10
3t = 10

Divide each side by '3'.
t = 3.333333333

Simplifying
t = 3.333333333