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6x+4z=58-3y
Subtract 3y from both sides.
6x=58-3y-4z
Subtract 4z from both sides.
6x=58-4z-3y
The equation is in standard form.
\frac{6x}{6}=\frac{58-4z-3y}{6}
Divide both sides by 6.
x=\frac{58-4z-3y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{y}{2}-\frac{2z}{3}+\frac{29}{3}
Divide 58-3y-4z by 6.
3y+4z=58-6x
Subtract 6x from both sides.
3y=58-6x-4z
Subtract 4z from both sides.
3y=58-4z-6x
The equation is in standard form.
\frac{3y}{3}=\frac{58-4z-6x}{3}
Divide both sides by 3.
y=\frac{58-4z-6x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{4z}{3}-2x+\frac{58}{3}
Divide 58-6x-4z by 3.