=3abc-(4y-7x+3y)-2z

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Solution for =3abc-(4y-7x+3y)-2z equation: 


Simplifying
0 = 3abc + -1(4y + -7x + 3y) + -2z

Reorder the terms:
0 = 3abc + -1(-7x + 4y + 3y) + -2z

Combine like terms: 4y + 3y = 7y
0 = 3abc + -1(-7x + 7y) + -2z
0 = 3abc + (-7x * -1 + 7y * -1) + -2z
0 = 3abc + (7x + -7y) + -2z

Solving
0 = 3abc + 7x + -7y + -2z

Solving for variable 'a'.

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

Add '-3abc' to each side of the equation.
0 + -3abc = 3abc + 7x + -7y + -3abc + -2z
Remove the zero:
-3abc = 3abc + 7x + -7y + -3abc + -2z

Reorder the terms:
-3abc = 3abc + -3abc + 7x + -7y + -2z

Combine like terms: 3abc + -3abc = 0
-3abc = 0 + 7x + -7y + -2z
-3abc = 7x + -7y + -2z

Divide each side by '-3bc'.
a = -2.333333333b-1c-1x + 2.333333333b-1c-1y + 0.6666666667b-1c-1z

Simplifying
a = -2.333333333b-1c-1x + 2.333333333b-1c-1y + 0.6666666667b-1c-1z

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