9(2-e)+4e=10-3e

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Solution for 9(2-e)+4e=10-3e equation:


Simplifying
9(2 + -1e) + 4e = 10 + -3e
(2 * 9 + -1e * 9) + 4e = 10 + -3e
(18 + -9e) + 4e = 10 + -3e

Combine like terms: -9e + 4e = -5e
18 + -5e = 10 + -3e

Solving
18 + -5e = 10 + -3e

Solving for variable 'e'.

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

Add '3e' to each side of the equation.
18 + -5e + 3e = 10 + -3e + 3e

Combine like terms: -5e + 3e = -2e
18 + -2e = 10 + -3e + 3e

Combine like terms: -3e + 3e = 0
18 + -2e = 10 + 0
18 + -2e = 10

Add '-18' to each side of the equation.
18 + -18 + -2e = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -2e = 10 + -18
-2e = 10 + -18

Combine like terms: 10 + -18 = -8
-2e = -8

Divide each side by '-2'.
e = 4

Simplifying
e = 4

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