-3(2e+1)-(-2e-9)=0

Solution for -3(2e+1)-(-2e-9)=0 equation:

Simplifying
-3(2e + 1) + -1(-2e + -9) = 0

Reorder the terms:
-3(1 + 2e) + -1(-2e + -9) = 0
(1 * -3 + 2e * -3) + -1(-2e + -9) = 0
(-3 + -6e) + -1(-2e + -9) = 0

Reorder the terms:
-3 + -6e + -1(-9 + -2e) = 0
-3 + -6e + (-9 * -1 + -2e * -1) = 0
-3 + -6e + (9 + 2e) = 0

Reorder the terms:
-3 + 9 + -6e + 2e = 0

Combine like terms: -3 + 9 = 6
6 + -6e + 2e = 0

Combine like terms: -6e + 2e = -4e
6 + -4e = 0

Solving
6 + -4e = 0

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + -4e = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4e = 0 + -6
-4e = 0 + -6

Combine like terms: 0 + -6 = -6
-4e = -6

Divide each side by '-4'.
e = 1.5

Simplifying
e = 1.5