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A=6x-15y+6z
Use the distributive property to multiply -3 by -2x+5y-2z.
6x-15y+6z=A
Swap sides so that all variable terms are on the left hand side.
6x+6z=A+15y
Add 15y to both sides.
6x=A+15y-6z
Subtract 6z from both sides.
6x=15y-6z+A
The equation is in standard form.
\frac{6x}{6}=\frac{15y-6z+A}{6}
Divide both sides by 6.
x=\frac{15y-6z+A}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{A}{6}+\frac{5y}{2}-z
Divide A+15y-6z by 6.
A=6x-15y+6z
Use the distributive property to multiply -3 by -2x+5y-2z.