(8e^2+5e+1)-(8e^2+5)=8e+7

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Solution for (8e^2+5e+1)-(8e^2+5)=8e+7 equation:


Simplifying
(8e2 + 5e + 1) + -1(8e2 + 5) = 8e + 7

Reorder the terms:
(1 + 5e + 8e2) + -1(8e2 + 5) = 8e + 7

Remove parenthesis around (1 + 5e + 8e2)
1 + 5e + 8e2 + -1(8e2 + 5) = 8e + 7

Reorder the terms:
1 + 5e + 8e2 + -1(5 + 8e2) = 8e + 7
1 + 5e + 8e2 + (5 * -1 + 8e2 * -1) = 8e + 7
1 + 5e + 8e2 + (-5 + -8e2) = 8e + 7

Reorder the terms:
1 + -5 + 5e + 8e2 + -8e2 = 8e + 7

Combine like terms: 1 + -5 = -4
-4 + 5e + 8e2 + -8e2 = 8e + 7

Combine like terms: 8e2 + -8e2 = 0
-4 + 5e + 0 = 8e + 7
-4 + 5e = 8e + 7

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

Solving
-4 + 5e = 7 + 8e

Solving for variable 'e'.

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

Add '-8e' to each side of the equation.
-4 + 5e + -8e = 7 + 8e + -8e

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

Combine like terms: 8e + -8e = 0
-4 + -3e = 7 + 0
-4 + -3e = 7

Add '4' to each side of the equation.
-4 + 4 + -3e = 7 + 4

Combine like terms: -4 + 4 = 0
0 + -3e = 7 + 4
-3e = 7 + 4

Combine like terms: 7 + 4 = 11
-3e = 11

Divide each side by '-3'.
e = -3.666666667

Simplifying
e = -3.666666667

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