6t-3(t+1)=30

Solution for 6t-3(t+1)=30 equation:

Simplifying
6t + -3(t + 1) = 30

Reorder the terms:
6t + -3(1 + t) = 30
6t + (1 * -3 + t * -3) = 30
6t + (-3 + -3t) = 30

Reorder the terms:
-3 + 6t + -3t = 30

Combine like terms: 6t + -3t = 3t
-3 + 3t = 30

Solving
-3 + 3t = 30

Solving for variable 't'.

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

Add '3' to each side of the equation.
-3 + 3 + 3t = 30 + 3

Combine like terms: -3 + 3 = 0
0 + 3t = 30 + 3
3t = 30 + 3

Combine like terms: 30 + 3 = 33
3t = 33

Divide each side by '3'.
t = 11

Simplifying
t = 11