2(9e+2)-3(4e-1)=

Solution for 2(9e+2)-3(4e-1)= equation:

Simplifying
2(9e + 2) + -3(4e + -1) = 0

Reorder the terms:
2(2 + 9e) + -3(4e + -1) = 0
(2 * 2 + 9e * 2) + -3(4e + -1) = 0
(4 + 18e) + -3(4e + -1) = 0

Reorder the terms:
4 + 18e + -3(-1 + 4e) = 0
4 + 18e + (-1 * -3 + 4e * -3) = 0
4 + 18e + (3 + -12e) = 0

Reorder the terms:
4 + 3 + 18e + -12e = 0

Combine like terms: 4 + 3 = 7
7 + 18e + -12e = 0

Combine like terms: 18e + -12e = 6e
7 + 6e = 0

Solving
7 + 6e = 0

Solving for variable 'e'.

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

Add '-7' to each side of the equation.
7 + -7 + 6e = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6e = 0 + -7
6e = 0 + -7

Combine like terms: 0 + -7 = -7
6e = -7

Divide each side by '6'.
e = -1.166666667

Simplifying
e = -1.166666667