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-4=\frac{-2}{3}+b
Express -\frac{1}{3}\times 2 as a single fraction.
-4=-\frac{2}{3}+b
Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.
-\frac{2}{3}+b=-4
Swap sides so that all variable terms are on the left hand side.
b=-4+\frac{2}{3}
Add \frac{2}{3} to both sides.
b=-\frac{12}{3}+\frac{2}{3}
Convert -4 to fraction -\frac{12}{3}.
b=\frac{-12+2}{3}
Since -\frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
b=-\frac{10}{3}
Add -12 and 2 to get -10.