Answer:
e = -2
Step-by-step explanation:
Simplifying
0.75(8 + e) = 2 + -1.25e
(8 * 0.75 + e * 0.75) = 2 + -1.25e
(6 + 0.75e) = 2 + -1.25e
Solving
6 + 0.75e = 2 + -1.25e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '1.25e' to each side of the equation.
6 + 0.75e + 1.25e = 2 + -1.25e + 1.25e
Combine like terms: 0.75e + 1.25e = 2e
6 + 2e = 2 + -1.25e + 1.25e
Combine like terms: -1.25e + 1.25e = 0.00
6 + 2e = 2 + 0.00
6 + 2e = 2
Add '-6' to each side of the equation.
6 + -6 + 2e = 2 + -6
Combine like terms: 6 + -6 = 0
0 + 2e = 2 + -6
2e = 2 + -6
Combine like terms: 2 + -6 = -4
2e = -4
