6(6a-7)=-258

Solution for 6(6a-7)=-258 equation:

Simplifying
6(6a + -7) = -258

Reorder the terms:
6(-7 + 6a) = -258
(-7 * 6 + 6a * 6) = -258
(-42 + 36a) = -258

Solving
-42 + 36a = -258

Solving for variable 'a'.

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

Add '42' to each side of the equation.
-42 + 42 + 36a = -258 + 42

Combine like terms: -42 + 42 = 0
0 + 36a = -258 + 42
36a = -258 + 42

Combine like terms: -258 + 42 = -216
36a = -216

Divide each side by '36'.
a = -6

Simplifying
a = -6