40h-[24-(6h+8)-(5-2h)]=e(-8h-12)

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Solution for 40h-[24-(6h+8)-(5-2h)]=e(-8h-12) equation:


Simplifying
40h + -1[24 + -1(6h + 8) + -1(5 + -2h)] = e(-8h + -12)

Reorder the terms:
40h + -1[24 + -1(8 + 6h) + -1(5 + -2h)] = e(-8h + -12)
40h + -1[24 + (8 * -1 + 6h * -1) + -1(5 + -2h)] = e(-8h + -12)
40h + -1[24 + (-8 + -6h) + -1(5 + -2h)] = e(-8h + -12)
40h + -1[24 + -8 + -6h + (5 * -1 + -2h * -1)] = e(-8h + -12)
40h + -1[24 + -8 + -6h + (-5 + 2h)] = e(-8h + -12)

Reorder the terms:
40h + -1[24 + -8 + -5 + -6h + 2h] = e(-8h + -12)

Combine like terms: 24 + -8 = 16
40h + -1[16 + -5 + -6h + 2h] = e(-8h + -12)

Combine like terms: 16 + -5 = 11
40h + -1[11 + -6h + 2h] = e(-8h + -12)

Combine like terms: -6h + 2h = -4h
40h + -1[11 + -4h] = e(-8h + -12)
40h + [11 * -1 + -4h * -1] = e(-8h + -12)
40h + [-11 + 4h] = e(-8h + -12)

Reorder the terms:
-11 + 40h + 4h = e(-8h + -12)

Combine like terms: 40h + 4h = 44h
-11 + 44h = e(-8h + -12)

Reorder the terms:
-11 + 44h = e(-12 + -8h)
-11 + 44h = (-12 * e + -8h * e)
-11 + 44h = (-12e + -8eh)

Solving
-11 + 44h = -12e + -8eh

Solving for variable 'h'.

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

Add '8eh' to each side of the equation.
-11 + 8eh + 44h = -12e + -8eh + 8eh

Combine like terms: -8eh + 8eh = 0
-11 + 8eh + 44h = -12e + 0
-11 + 8eh + 44h = -12e

Add '11' to each side of the equation.
-11 + 8eh + 11 + 44h = 11 + -12e

Reorder the terms:
-11 + 11 + 8eh + 44h = 11 + -12e

Combine like terms: -11 + 11 = 0
0 + 8eh + 44h = 11 + -12e
8eh + 44h = 11 + -12e

Reorder the terms:
-11 + 12e + 8eh + 44h = 11 + -12e + -11 + 12e

Reorder the terms:
-11 + 12e + 8eh + 44h = 11 + -11 + -12e + 12e

Combine like terms: 11 + -11 = 0
-11 + 12e + 8eh + 44h = 0 + -12e + 12e
-11 + 12e + 8eh + 44h = -12e + 12e

Combine like terms: -12e + 12e = 0
-11 + 12e + 8eh + 44h = 0

The solution to this equation could not be determined.

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