6+3(2t-2)-3(4t+5)-7=

Solution for 6+3(2t-2)-3(4t+5)-7= equation:

Simplifying
6 + 3(2t + -2) + -3(4t + 5) + -7 = 0

Reorder the terms:
6 + 3(-2 + 2t) + -3(4t + 5) + -7 = 0
6 + (-2 * 3 + 2t * 3) + -3(4t + 5) + -7 = 0
6 + (-6 + 6t) + -3(4t + 5) + -7 = 0

Reorder the terms:
6 + -6 + 6t + -3(5 + 4t) + -7 = 0
6 + -6 + 6t + (5 * -3 + 4t * -3) + -7 = 0
6 + -6 + 6t + (-15 + -12t) + -7 = 0

Reorder the terms:
6 + -6 + -15 + -7 + 6t + -12t = 0

Combine like terms: 6 + -6 = 0
0 + -15 + -7 + 6t + -12t = 0
-15 + -7 + 6t + -12t = 0

Combine like terms: -15 + -7 = -22
-22 + 6t + -12t = 0

Combine like terms: 6t + -12t = -6t
-22 + -6t = 0

Solving
-22 + -6t = 0

Solving for variable 't'.

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

Add '22' to each side of the equation.
-22 + 22 + -6t = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -6t = 0 + 22
-6t = 0 + 22

Combine like terms: 0 + 22 = 22
-6t = 22

Divide each side by '-6'.
t = -3.666666667

Simplifying
t = -3.666666667