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-7x=12\times 4z
Multiply both sides of the equation by 84, the least common multiple of -12,7.
-7x=48z
Multiply 12 and 4 to get 48.
\frac{-7x}{-7}=\frac{48z}{-7}
Divide both sides by -7.
x=\frac{48z}{-7}
Dividing by -7 undoes the multiplication by -7.
x=-\frac{48z}{7}
Divide 48z by -7.
-7x=12\times 4z
Multiply both sides of the equation by 84, the least common multiple of -12,7.
-7x=48z
Multiply 12 and 4 to get 48.
48z=-7x
Swap sides so that all variable terms are on the left hand side.
\frac{48z}{48}=-\frac{7x}{48}
Divide both sides by 48.
z=-\frac{7x}{48}
Dividing by 48 undoes the multiplication by 48.