51-2e=12e+9

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Solution for 51-2e=12e+9 equation:


Simplifying
51 + -2e = 12e + 9

Reorder the terms:
51 + -2e = 9 + 12e

Solving
51 + -2e = 9 + 12e

Solving for variable 'e'.

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

Add '-12e' to each side of the equation.
51 + -2e + -12e = 9 + 12e + -12e

Combine like terms: -2e + -12e = -14e
51 + -14e = 9 + 12e + -12e

Combine like terms: 12e + -12e = 0
51 + -14e = 9 + 0
51 + -14e = 9

Add '-51' to each side of the equation.
51 + -51 + -14e = 9 + -51

Combine like terms: 51 + -51 = 0
0 + -14e = 9 + -51
-14e = 9 + -51

Combine like terms: 9 + -51 = -42
-14e = -42

Divide each side by '-14'.
e = 3

Simplifying
e = 3

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