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

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


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

Reorder the terms:
27 + -9e + -2(5 + e) = -5
27 + -9e + (5 * -2 + e * -2) = -5
27 + -9e + (-10 + -2e) = -5

Reorder the terms:
27 + -10 + -9e + -2e = -5

Combine like terms: 27 + -10 = 17
17 + -9e + -2e = -5

Combine like terms: -9e + -2e = -11e
17 + -11e = -5

Solving
17 + -11e = -5

Solving for variable 'e'.

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

Add '-17' to each side of the equation.
17 + -17 + -11e = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -11e = -5 + -17
-11e = -5 + -17

Combine like terms: -5 + -17 = -22
-11e = -22

Divide each side by '-11'.
e = 2

Simplifying
e = 2

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