3(8-e)+2(e+2)=34

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Solution for 3(8-e)+2(e+2)=34 equation:


Simplifying
3(8 + -1e) + 2(e + 2) = 34
(8 * 3 + -1e * 3) + 2(e + 2) = 34
(24 + -3e) + 2(e + 2) = 34

Reorder the terms:
24 + -3e + 2(2 + e) = 34
24 + -3e + (2 * 2 + e * 2) = 34
24 + -3e + (4 + 2e) = 34

Reorder the terms:
24 + 4 + -3e + 2e = 34

Combine like terms: 24 + 4 = 28
28 + -3e + 2e = 34

Combine like terms: -3e + 2e = -1e
28 + -1e = 34

Solving
28 + -1e = 34

Solving for variable 'e'.

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

Add '-28' to each side of the equation.
28 + -28 + -1e = 34 + -28

Combine like terms: 28 + -28 = 0
0 + -1e = 34 + -28
-1e = 34 + -28

Combine like terms: 34 + -28 = 6
-1e = 6

Divide each side by '-1'.
e = -6

Simplifying
e = -6

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