9W-[4w-(2VI-3w+4W+6VI)]=5W-7w-4VI

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Solution for 9W-[4w-(2VI-3w+4W+6VI)]=5W-7w-4VI equation: 


Simplifying
9W + -1[4w + -1(2VI + -3w + 4W + 6VI)] = 5W + -7w + -4VI

Reorder the terms:
9W + -1[4w + -1(2IV + 6IV + 4W + -3w)] = 5W + -7w + -4VI

Combine like terms: 2IV + 6IV = 8IV
9W + -1[4w + -1(8IV + 4W + -3w)] = 5W + -7w + -4VI
9W + -1[4w + (8IV * -1 + 4W * -1 + -3w * -1)] = 5W + -7w + -4VI
9W + -1[4w + (-8IV + -4W + 3w)] = 5W + -7w + -4VI

Reorder the terms:
9W + -1[-8IV + -4W + 4w + 3w] = 5W + -7w + -4VI

Combine like terms: 4w + 3w = 7w
9W + -1[-8IV + -4W + 7w] = 5W + -7w + -4VI
9W + [-8IV * -1 + -4W * -1 + 7w * -1] = 5W + -7w + -4VI
9W + [8IV + 4W + -7w] = 5W + -7w + -4VI

Reorder the terms:
8IV + 9W + 4W + -7w = 5W + -7w + -4VI

Combine like terms: 9W + 4W = 13W
8IV + 13W + -7w = 5W + -7w + -4VI

Reorder the terms:
8IV + 13W + -7w = -4IV + 5W + -7w

Add '7w' to each side of the equation.
8IV + 13W + -7w + 7w = -4IV + 5W + -7w + 7w

Combine like terms: -7w + 7w = 0
8IV + 13W + 0 = -4IV + 5W + -7w + 7w
8IV + 13W = -4IV + 5W + -7w + 7w

Combine like terms: -7w + 7w = 0
8IV + 13W = -4IV + 5W + 0
8IV + 13W = -4IV + 5W

Solving
8IV + 13W = -4IV + 5W

Solving for variable 'I'.

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

Add '4IV' to each side of the equation.
8IV + 4IV + 13W = -4IV + 4IV + 5W

Combine like terms: 8IV + 4IV = 12IV
12IV + 13W = -4IV + 4IV + 5W

Combine like terms: -4IV + 4IV = 0
12IV + 13W = 0 + 5W
12IV + 13W = 5W

Add '-13W' to each side of the equation.
12IV + 13W + -13W = 5W + -13W

Combine like terms: 13W + -13W = 0
12IV + 0 = 5W + -13W
12IV = 5W + -13W

Combine like terms: 5W + -13W = -8W
12IV = -8W

Divide each side by '12V'.
I = -0.6666666667V-1W

Simplifying
I = -0.6666666667V-1W

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