6(t-2)-76=-42

Solution for 6(t-2)-76=-42 equation:

Simplifying
6(t + -2) + -76 = -42

Reorder the terms:
6(-2 + t) + -76 = -42
(-2 * 6 + t * 6) + -76 = -42
(-12 + 6t) + -76 = -42

Reorder the terms:
-12 + -76 + 6t = -42

Combine like terms: -12 + -76 = -88
-88 + 6t = -42

Solving
-88 + 6t = -42

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 = -42 + 88

Combine like terms: -88 + 88 = 0
0 + 6t = -42 + 88
6t = -42 + 88

Combine like terms: -42 + 88 = 46
6t = 46

Divide each side by '6'.
t = 7.666666667

Simplifying
t = 7.666666667