6t+3(t+4)=t

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

Simplifying
6t + 3(t + 4) = t

Reorder the terms:
6t + 3(4 + t) = t
6t + (4 * 3 + t * 3) = t
6t + (12 + 3t) = t

Reorder the terms:
12 + 6t + 3t = t

Combine like terms: 6t + 3t = 9t
12 + 9t = t

Solving
12 + 9t = t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
12 + 9t + -1t = t + -1t

Combine like terms: 9t + -1t = 8t
12 + 8t = t + -1t

Combine like terms: t + -1t = 0
12 + 8t = 0

Add '-12' to each side of the equation.
12 + -12 + 8t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 8t = 0 + -12
8t = 0 + -12

Combine like terms: 0 + -12 = -12
8t = -12

Divide each side by '8'.
t = -1.5

Simplifying
t = -1.5