-14+3(e+10)=7(2e+4)+e

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Solution for -14+3(e+10)=7(2e+4)+e equation: 


Simplifying
-14 + 3(e + 10) = 7(2e + 4) + e

Reorder the terms:
-14 + 3(10 + e) = 7(2e + 4) + e
-14 + (10 * 3 + e * 3) = 7(2e + 4) + e
-14 + (30 + 3e) = 7(2e + 4) + e

Combine like terms: -14 + 30 = 16
16 + 3e = 7(2e + 4) + e

Reorder the terms:
16 + 3e = 7(4 + 2e) + e
16 + 3e = (4 * 7 + 2e * 7) + e
16 + 3e = (28 + 14e) + e

Combine like terms: 14e + e = 15e
16 + 3e = 28 + 15e

Solving
16 + 3e = 28 + 15e

Solving for variable 'e'.

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

Add '-15e' to each side of the equation.
16 + 3e + -15e = 28 + 15e + -15e

Combine like terms: 3e + -15e = -12e
16 + -12e = 28 + 15e + -15e

Combine like terms: 15e + -15e = 0
16 + -12e = 28 + 0
16 + -12e = 28

Add '-16' to each side of the equation.
16 + -16 + -12e = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -12e = 28 + -16
-12e = 28 + -16

Combine like terms: 28 + -16 = 12
-12e = 12

Divide each side by '-12'.
e = -1

Simplifying
e = -1

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