5e+1=3e(-5)

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Solution for 5e+1=3e(-5) equation:


Simplifying
5e + 1 = 3e(-5)

Reorder the terms:
1 + 5e = 3e(-5)

Reorder the terms for easier multiplication:
1 + 5e = 3 * -5e

Multiply 3 * -5
1 + 5e = -15e

Solving
1 + 5e = -15e

Solving for variable 'e'.

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

Add '15e' to each side of the equation.
1 + 5e + 15e = -15e + 15e

Combine like terms: 5e + 15e = 20e
1 + 20e = -15e + 15e

Combine like terms: -15e + 15e = 0
1 + 20e = 0

Add '-1' to each side of the equation.
1 + -1 + 20e = 0 + -1

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

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

Divide each side by '20'.
e = -0.05

Simplifying
e = -0.05

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