3(6t+1)=t+4+t-2

Solution for 3(6t+1)=t+4+t-2 equation:

Simplifying
3(6t + 1) = t + 4 + t + -2

Reorder the terms:
3(1 + 6t) = t + 4 + t + -2
(1 * 3 + 6t * 3) = t + 4 + t + -2
(3 + 18t) = t + 4 + t + -2

Reorder the terms:
3 + 18t = 4 + -2 + t + t

Combine like terms: 4 + -2 = 2
3 + 18t = 2 + t + t

Combine like terms: t + t = 2t
3 + 18t = 2 + 2t

Solving
3 + 18t = 2 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
3 + 18t + -2t = 2 + 2t + -2t

Combine like terms: 18t + -2t = 16t
3 + 16t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
3 + 16t = 2 + 0
3 + 16t = 2

Add '-3' to each side of the equation.
3 + -3 + 16t = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 16t = 2 + -3
16t = 2 + -3

Combine like terms: 2 + -3 = -1
16t = -1

Divide each side by '16'.
t = -0.0625

Simplifying
t = -0.0625