8(e+2)-3(e-4)=6(e-7)+8

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Solution for 8(e+2)-3(e-4)=6(e-7)+8 equation:


Simplifying
8(e + 2) + -3(e + -4) = 6(e + -7) + 8

Reorder the terms:
8(2 + e) + -3(e + -4) = 6(e + -7) + 8
(2 * 8 + e * 8) + -3(e + -4) = 6(e + -7) + 8
(16 + 8e) + -3(e + -4) = 6(e + -7) + 8

Reorder the terms:
16 + 8e + -3(-4 + e) = 6(e + -7) + 8
16 + 8e + (-4 * -3 + e * -3) = 6(e + -7) + 8
16 + 8e + (12 + -3e) = 6(e + -7) + 8

Reorder the terms:
16 + 12 + 8e + -3e = 6(e + -7) + 8

Combine like terms: 16 + 12 = 28
28 + 8e + -3e = 6(e + -7) + 8

Combine like terms: 8e + -3e = 5e
28 + 5e = 6(e + -7) + 8

Reorder the terms:
28 + 5e = 6(-7 + e) + 8
28 + 5e = (-7 * 6 + e * 6) + 8
28 + 5e = (-42 + 6e) + 8

Reorder the terms:
28 + 5e = -42 + 8 + 6e

Combine like terms: -42 + 8 = -34
28 + 5e = -34 + 6e

Solving
28 + 5e = -34 + 6e

Solving for variable 'e'.

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

Add '-6e' to each side of the equation.
28 + 5e + -6e = -34 + 6e + -6e

Combine like terms: 5e + -6e = -1e
28 + -1e = -34 + 6e + -6e

Combine like terms: 6e + -6e = 0
28 + -1e = -34 + 0
28 + -1e = -34

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 = -62
-1e = -62

Divide each side by '-1'.
e = 62

Simplifying
e = 62

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