3(-2e+7)-5=2e-45+12

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Solution for 3(-2e+7)-5=2e-45+12 equation: 


Simplifying
3(-2e + 7) + -5 = 2e + -45 + 12

Reorder the terms:
3(7 + -2e) + -5 = 2e + -45 + 12
(7 * 3 + -2e * 3) + -5 = 2e + -45 + 12
(21 + -6e) + -5 = 2e + -45 + 12

Reorder the terms:
21 + -5 + -6e = 2e + -45 + 12

Combine like terms: 21 + -5 = 16
16 + -6e = 2e + -45 + 12

Reorder the terms:
16 + -6e = -45 + 12 + 2e

Combine like terms: -45 + 12 = -33
16 + -6e = -33 + 2e

Solving
16 + -6e = -33 + 2e

Solving for variable 'e'.

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

Add '-2e' to each side of the equation.
16 + -6e + -2e = -33 + 2e + -2e

Combine like terms: -6e + -2e = -8e
16 + -8e = -33 + 2e + -2e

Combine like terms: 2e + -2e = 0
16 + -8e = -33 + 0
16 + -8e = -33

Add '-16' to each side of the equation.
16 + -16 + -8e = -33 + -16

Combine like terms: 16 + -16 = 0
0 + -8e = -33 + -16
-8e = -33 + -16

Combine like terms: -33 + -16 = -49
-8e = -49

Divide each side by '-8'.
e = 6.125

Simplifying
e = 6.125

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