6(t-7)-76=-142

Solution for 6(t-7)-76=-142 equation:

Simplifying
6(t + -7) + -76 = -142

Reorder the terms:
6(-7 + t) + -76 = -142
(-7 * 6 + t * 6) + -76 = -142
(-42 + 6t) + -76 = -142

Reorder the terms:
-42 + -76 + 6t = -142

Combine like terms: -42 + -76 = -118
-118 + 6t = -142

Solving
-118 + 6t = -142

Solving for variable 't'.

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

Add '118' to each side of the equation.
-118 + 118 + 6t = -142 + 118

Combine like terms: -118 + 118 = 0
0 + 6t = -142 + 118
6t = -142 + 118

Combine like terms: -142 + 118 = -24
6t = -24

Divide each side by '6'.
t = -4

Simplifying
t = -4