6+9(3e+1)-12e=

Solution for 6+9(3e+1)-12e= equation:

Simplifying
6 + 9(3e + 1) + -12e = 0

Reorder the terms:
6 + 9(1 + 3e) + -12e = 0
6 + (1 * 9 + 3e * 9) + -12e = 0
6 + (9 + 27e) + -12e = 0

Combine like terms: 6 + 9 = 15
15 + 27e + -12e = 0

Combine like terms: 27e + -12e = 15e
15 + 15e = 0

Solving
15 + 15e = 0

Solving for variable 'e'.

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

Add '-15' to each side of the equation.
15 + -15 + 15e = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 15e = 0 + -15
15e = 0 + -15

Combine like terms: 0 + -15 = -15
15e = -15

Divide each side by '15'.
e = -1

Simplifying
e = -1