5(4+E)=3(3E-1)-9

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Solution for 5(4+E)=3(3E-1)-9 equation: 


Simplifying
5(4 + E) = 3(3E + -1) + -9
(4 * 5 + E * 5) = 3(3E + -1) + -9
(20 + 5E) = 3(3E + -1) + -9

Reorder the terms:
20 + 5E = 3(-1 + 3E) + -9
20 + 5E = (-1 * 3 + 3E * 3) + -9
20 + 5E = (-3 + 9E) + -9

Reorder the terms:
20 + 5E = -3 + -9 + 9E

Combine like terms: -3 + -9 = -12
20 + 5E = -12 + 9E

Solving
20 + 5E = -12 + 9E

Solving for variable 'E'.

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

Add '-9E' to each side of the equation.
20 + 5E + -9E = -12 + 9E + -9E

Combine like terms: 5E + -9E = -4E
20 + -4E = -12 + 9E + -9E

Combine like terms: 9E + -9E = 0
20 + -4E = -12 + 0
20 + -4E = -12

Add '-20' to each side of the equation.
20 + -20 + -4E = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -4E = -12 + -20
-4E = -12 + -20

Combine like terms: -12 + -20 = -32
-4E = -32

Divide each side by '-4'.
E = 8

Simplifying
E = 8

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