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

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


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

Reorder the terms:
8(4 + 3e) + -7 = 7(4e + -7) + 6
(4 * 8 + 3e * 8) + -7 = 7(4e + -7) + 6
(32 + 24e) + -7 = 7(4e + -7) + 6

Reorder the terms:
32 + -7 + 24e = 7(4e + -7) + 6

Combine like terms: 32 + -7 = 25
25 + 24e = 7(4e + -7) + 6

Reorder the terms:
25 + 24e = 7(-7 + 4e) + 6
25 + 24e = (-7 * 7 + 4e * 7) + 6
25 + 24e = (-49 + 28e) + 6

Reorder the terms:
25 + 24e = -49 + 6 + 28e

Combine like terms: -49 + 6 = -43
25 + 24e = -43 + 28e

Solving
25 + 24e = -43 + 28e

Solving for variable 'e'.

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

Add '-28e' to each side of the equation.
25 + 24e + -28e = -43 + 28e + -28e

Combine like terms: 24e + -28e = -4e
25 + -4e = -43 + 28e + -28e

Combine like terms: 28e + -28e = 0
25 + -4e = -43 + 0
25 + -4e = -43

Add '-25' to each side of the equation.
25 + -25 + -4e = -43 + -25

Combine like terms: 25 + -25 = 0
0 + -4e = -43 + -25
-4e = -43 + -25

Combine like terms: -43 + -25 = -68
-4e = -68

Divide each side by '-4'.
e = 17

Simplifying
e = 17

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