6[t-2]-76=-142

Solution for 6[t-2]-76=-142 equation:

Simplifying
6[t + -2] + -76 = -142

Reorder the terms:
6[-2 + t] + -76 = -142
[-2 * 6 + t * 6] + -76 = -142
[-12 + 6t] + -76 = -142

Reorder the terms:
-12 + -76 + 6t = -142

Combine like terms: -12 + -76 = -88
-88 + 6t = -142

Solving
-88 + 6t = -142

Solving for variable 't'.

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

Add '88' to each side of the equation.
-88 + 88 + 6t = -142 + 88

Combine like terms: -88 + 88 = 0
0 + 6t = -142 + 88
6t = -142 + 88

Combine like terms: -142 + 88 = -54
6t = -54

Divide each side by '6'.
t = -9

Simplifying
t = -9