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

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

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

Combine like terms: 6 + -4 = 2
(2) = 3(t + 1) + 3
2 = 3(t + 1) + 3

Reorder the terms:
2 = 3(1 + t) + 3
2 = (1 * 3 + t * 3) + 3
2 = (3 + 3t) + 3

Reorder the terms:
2 = 3 + 3 + 3t

Combine like terms: 3 + 3 = 6
2 = 6 + 3t

Solving
2 = 6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
2 + -3t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
2 + -3t = 6 + 0
2 + -3t = 6

Add '-2' to each side of the equation.
2 + -2 + -3t = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -3t = 6 + -2
-3t = 6 + -2

Combine like terms: 6 + -2 = 4
-3t = 4

Divide each side by '-3'.
t = -1.333333333

Simplifying
t = -1.333333333