2[3-3(t+1)]+1=2(-19-t)+2t+19

Solution for 2[3-3(t+1)]+1=2(-19-t)+2t+19 equation:

Simplifying
2[3 + -3(t + 1)] + 1 = 2(-19 + -1t) + 2t + 19

Reorder the terms:
2[3 + -3(1 + t)] + 1 = 2(-19 + -1t) + 2t + 19
2[3 + (1 * -3 + t * -3)] + 1 = 2(-19 + -1t) + 2t + 19
2[3 + (-3 + -3t)] + 1 = 2(-19 + -1t) + 2t + 19

Combine like terms: 3 + -3 = 0
2[0 + -3t] + 1 = 2(-19 + -1t) + 2t + 19
2[-3t] + 1 = 2(-19 + -1t) + 2t + 19

Remove brackets around [-3t]
2 * -3t + 1 = 2(-19 + -1t) + 2t + 19

Multiply 2 * -3
-6t + 1 = 2(-19 + -1t) + 2t + 19

Reorder the terms:
1 + -6t = 2(-19 + -1t) + 2t + 19
1 + -6t = (-19 * 2 + -1t * 2) + 2t + 19
1 + -6t = (-38 + -2t) + 2t + 19

Reorder the terms:
1 + -6t = -38 + 19 + -2t + 2t

Combine like terms: -38 + 19 = -19
1 + -6t = -19 + -2t + 2t

Combine like terms: -2t + 2t = 0
1 + -6t = -19 + 0
1 + -6t = -19

Solving
1 + -6t = -19

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + -6t = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -6t = -19 + -1
-6t = -19 + -1

Combine like terms: -19 + -1 = -20
-6t = -20

Divide each side by '-6'.
t = 3.333333333

Simplifying
t = 3.333333333