Solve for b -3.3=b/0.2-2.8

$- 3.3 = \frac{b}{0.2} - 2.8$

Step 1

Rewrite the equation as $\frac{b}{0.2} - 2.8 = - 3.3$ .

$\frac{b}{0.2} - 2.8 = - 3.3$

Step 2

Simplify each term.

Multiply by $1$ .

$\frac{1 b}{0.2} - 2.8 = - 3.3$

Factor $0.2$ out of $0.2$ .

$\frac{1 b}{0.2 (1)} - 2.8 = - 3.3$

Separate fractions.

$\frac{1}{0.2} \cdot \frac{b}{1} - 2.8 = - 3.3$

Divide $1$ by $0.2$ .

$5 \frac{b}{1} - 2.8 = - 3.3$

Divide $b$ by $1$ .

$5 b - 2.8 = - 3.3$

Step 3

Move all terms not containing $b$ to the right side of the equation.

Add $2.8$ to both sides of the equation.

$5 b = - 3.3 + 2.8$

Add $- 3.3$ and $2.8$ .

$5 b = - 0.5$

Step 4

Divide each term in $5 b = - 0.5$ by $5$ and simplify.

Divide each term in $5 b = - 0.5$ by $5$ .

$\frac{5 b}{5} = \frac{- 0.5}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 b}{5} = \frac{- 0.5}{5}$

Divide $b$ by $1$ .

$b = \frac{- 0.5}{5}$

Simplify the right side.

Divide $- 0.5$ by $5$ .

$b = - 0.1$