9(3-e)-2(3e+1)=5

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Solution for 9(3-e)-2(3e+1)=5 equation: 


Simplifying
9(3 + -1e) + -2(3e + 1) = 5
(3 * 9 + -1e * 9) + -2(3e + 1) = 5
(27 + -9e) + -2(3e + 1) = 5

Reorder the terms:
27 + -9e + -2(1 + 3e) = 5
27 + -9e + (1 * -2 + 3e * -2) = 5
27 + -9e + (-2 + -6e) = 5

Reorder the terms:
27 + -2 + -9e + -6e = 5

Combine like terms: 27 + -2 = 25
25 + -9e + -6e = 5

Combine like terms: -9e + -6e = -15e
25 + -15e = 5

Solving
25 + -15e = 5

Solving for variable 'e'.

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

Add '-25' to each side of the equation.
25 + -25 + -15e = 5 + -25

Combine like terms: 25 + -25 = 0
0 + -15e = 5 + -25
-15e = 5 + -25

Combine like terms: 5 + -25 = -20
-15e = -20

Divide each side by '-15'.
e = 1.333333333

Simplifying
e = 1.333333333

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