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-4=\frac{4}{3}-\frac{12}{3}+\theta
Convert 4 to fraction \frac{12}{3}.
-4=\frac{4-12}{3}+\theta
Since \frac{4}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.
-4=-\frac{8}{3}+\theta
Subtract 12 from 4 to get -8.
-\frac{8}{3}+\theta =-4
Swap sides so that all variable terms are on the left hand side.
\theta =-4+\frac{8}{3}
Add \frac{8}{3} to both sides.
\theta =-\frac{12}{3}+\frac{8}{3}
Convert -4 to fraction -\frac{12}{3}.
\theta =\frac{-12+8}{3}
Since -\frac{12}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.
\theta =-\frac{4}{3}
Add -12 and 8 to get -4.