11(4e-1)-34e=9(e-1)-11

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Solution for 11(4e-1)-34e=9(e-1)-11 equation:


Simplifying
11(4e + -1) + -34e = 9(e + -1) + -11

Reorder the terms:
11(-1 + 4e) + -34e = 9(e + -1) + -11
(-1 * 11 + 4e * 11) + -34e = 9(e + -1) + -11
(-11 + 44e) + -34e = 9(e + -1) + -11

Combine like terms: 44e + -34e = 10e
-11 + 10e = 9(e + -1) + -11

Reorder the terms:
-11 + 10e = 9(-1 + e) + -11
-11 + 10e = (-1 * 9 + e * 9) + -11
-11 + 10e = (-9 + 9e) + -11

Reorder the terms:
-11 + 10e = -9 + -11 + 9e

Combine like terms: -9 + -11 = -20
-11 + 10e = -20 + 9e

Solving
-11 + 10e = -20 + 9e

Solving for variable 'e'.

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

Add '-9e' to each side of the equation.
-11 + 10e + -9e = -20 + 9e + -9e

Combine like terms: 10e + -9e = 1e
-11 + 1e = -20 + 9e + -9e

Combine like terms: 9e + -9e = 0
-11 + 1e = -20 + 0
-11 + 1e = -20

Add '11' to each side of the equation.
-11 + 11 + 1e = -20 + 11

Combine like terms: -11 + 11 = 0
0 + 1e = -20 + 11
1e = -20 + 11

Combine like terms: -20 + 11 = -9
1e = -9

Divide each side by '1'.
e = -9

Simplifying
e = -9

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