(e-6)(9-(6-7))=30

Solution for (e-6)(9-(6-7))=30 equation:

Simplifying
(e + -6)(9 + -1(6 + -7)) = 30

Reorder the terms:
(-6 + e)(9 + -1(6 + -7)) = 30

Combine like terms: 6 + -7 = -1
(-6 + e)(9 + -1(-1)) = 30

Multiply -1 * -1
(-6 + e)(9 + 1) = 30

Combine like terms: 9 + 1 = 10
(-6 + e)(10) = 30

Reorder the terms for easier multiplication:
10(-6 + e) = 30
(-6 * 10 + e * 10) = 30
(-60 + 10e) = 30

Solving
-60 + 10e = 30

Solving for variable 'e'.

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

Add '60' to each side of the equation.
-60 + 60 + 10e = 30 + 60

Combine like terms: -60 + 60 = 0
0 + 10e = 30 + 60
10e = 30 + 60

Combine like terms: 30 + 60 = 90
10e = 90

Divide each side by '10'.
e = 9

Simplifying
e = 9