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-1=\frac{-2\times 6}{7}+b
Express -\frac{2}{7}\times 6 as a single fraction.
-1=\frac{-12}{7}+b
Multiply -2 and 6 to get -12.
-1=-\frac{12}{7}+b
Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.
-\frac{12}{7}+b=-1
Swap sides so that all variable terms are on the left hand side.
b=-1+\frac{12}{7}
Add \frac{12}{7} to both sides.
b=-\frac{7}{7}+\frac{12}{7}
Convert -1 to fraction -\frac{7}{7}.
b=\frac{-7+12}{7}
Since -\frac{7}{7} and \frac{12}{7} have the same denominator, add them by adding their numerators.
b=\frac{5}{7}
Add -7 and 12 to get 5.