-e+2-3e+4=-5+6e-7+8e

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Solution for -e+2-3e+4=-5+6e-7+8e equation:


Simplifying
-1e + 2 + -3e + 4 = -5 + 6e + -7 + 8e

Reorder the terms:
2 + 4 + -1e + -3e = -5 + 6e + -7 + 8e

Combine like terms: 2 + 4 = 6
6 + -1e + -3e = -5 + 6e + -7 + 8e

Combine like terms: -1e + -3e = -4e
6 + -4e = -5 + 6e + -7 + 8e

Reorder the terms:
6 + -4e = -5 + -7 + 6e + 8e

Combine like terms: -5 + -7 = -12
6 + -4e = -12 + 6e + 8e

Combine like terms: 6e + 8e = 14e
6 + -4e = -12 + 14e

Solving
6 + -4e = -12 + 14e

Solving for variable 'e'.

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

Add '-14e' to each side of the equation.
6 + -4e + -14e = -12 + 14e + -14e

Combine like terms: -4e + -14e = -18e
6 + -18e = -12 + 14e + -14e

Combine like terms: 14e + -14e = 0
6 + -18e = -12 + 0
6 + -18e = -12

Add '-6' to each side of the equation.
6 + -6 + -18e = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -18e = -12 + -6
-18e = -12 + -6

Combine like terms: -12 + -6 = -18
-18e = -18

Divide each side by '-18'.
e = 1

Simplifying
e = 1

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