.75(e-8)=.1(1.5e-30)

Solution for .75(e-8)=.1(1.5e-30) equation:

Simplifying
0.75(e + -8) = 0.1(1.5e + -30)

Reorder the terms:
0.75(-8 + e) = 0.1(1.5e + -30)
(-8 * 0.75 + e * 0.75) = 0.1(1.5e + -30)
(-6 + 0.75e) = 0.1(1.5e + -30)

Reorder the terms:
-6 + 0.75e = 0.1(-30 + 1.5e)
-6 + 0.75e = (-30 * 0.1 + 1.5e * 0.1)
-6 + 0.75e = (-3 + 0.15e)

Solving
-6 + 0.75e = -3 + 0.15e

Solving for variable 'e'.

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

Add '-0.15e' to each side of the equation.
-6 + 0.75e + -0.15e = -3 + 0.15e + -0.15e

Combine like terms: 0.75e + -0.15e = 0.6e
-6 + 0.6e = -3 + 0.15e + -0.15e

Combine like terms: 0.15e + -0.15e = 0.00
-6 + 0.6e = -3 + 0.00
-6 + 0.6e = -3

Add '6' to each side of the equation.
-6 + 6 + 0.6e = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 0.6e = -3 + 6
0.6e = -3 + 6

Combine like terms: -3 + 6 = 3
0.6e = 3

Divide each side by '0.6'.
e = 5

Simplifying
e = 5