2(3t-4)+11=t-27

Solution for 2(3t-4)+11=t-27 equation:

Simplifying
2(3t + -4) + 11 = t + -27

Reorder the terms:
2(-4 + 3t) + 11 = t + -27
(-4 * 2 + 3t * 2) + 11 = t + -27
(-8 + 6t) + 11 = t + -27

Reorder the terms:
-8 + 11 + 6t = t + -27

Combine like terms: -8 + 11 = 3
3 + 6t = t + -27

Reorder the terms:
3 + 6t = -27 + t

Solving
3 + 6t = -27 + 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.
3 + 6t + -1t = -27 + t + -1t

Combine like terms: 6t + -1t = 5t
3 + 5t = -27 + t + -1t

Combine like terms: t + -1t = 0
3 + 5t = -27 + 0
3 + 5t = -27

Add '-3' to each side of the equation.
3 + -3 + 5t = -27 + -3

Combine like terms: 3 + -3 = 0
0 + 5t = -27 + -3
5t = -27 + -3

Combine like terms: -27 + -3 = -30
5t = -30

Divide each side by '5'.
t = -6

Simplifying
t = -6