Solve -6=-6/7(-7)+b

$$- 6 = \frac { - 6 } { 7 } ( - 7 ) + b$$

Solve for b

$$b=-12$$

Steps for Solving Linear Equation

Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.

$$-6=-\frac{6}{7}\left(-7\right)+b$$

Express -\frac{6}{7}\left(-7\right) as a single fraction.

$$-6=\frac{-6\left(-7\right)}{7}+b$$

Multiply -6 and -7 to get 42.

$$-6=\frac{42}{7}+b$$

Divide 42 by 7 to get 6.

$$-6=6+b$$

Swap sides so that all variable terms are on the left hand side.

$$6+b=-6$$

Subtract 6 from both sides.

$$b=-6-6$$

Subtract 6 from -6 to get -12.

$$b=-12$$