Solve for b -2.9+b/0.1=-39.9

$- 2.9 + \frac{b}{0.1} = - 39.9$

Step 1

Simplify each term.

Multiply by $1$ .

$- 2.9 + \frac{1 b}{0.1} = - 39.9$

Factor $0.1$ out of $0.1$ .

$- 2.9 + \frac{1 b}{0.1 (1)} = - 39.9$

Separate fractions.

$- 2.9 + \frac{1}{0.1} \cdot \frac{b}{1} = - 39.9$

Divide $1$ by $0.1$ .

$- 2.9 + 10 \frac{b}{1} = - 39.9$

Divide $b$ by $1$ .

$- 2.9 + 10 b = - 39.9$

Step 2

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

Add $2.9$ to both sides of the equation.

$10 b = - 39.9 + 2.9$

Add $- 39.9$ and $2.9$ .

$10 b = - 37$

Step 3

Divide each term in $10 b = - 37$ by $10$ and simplify.

Divide each term in $10 b = - 37$ by $10$ .

$\frac{10 b}{10} = \frac{- 37}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 b}{10} = \frac{- 37}{10}$

Divide $b$ by $1$ .

$b = \frac{- 37}{10}$

Simplify the right side.

Cancel the common factor of $- 37$ and $10$ .

Rewrite $- 37$ as $1 (- 37)$ .

$b = \frac{1 (- 37)}{10}$

Cancel the common factors.

Rewrite $10$ as $1 (10)$ .

$b = \frac{1 \cdot - 37}{1 \cdot 10}$

Cancel the common factor.

$b = \frac{1 \cdot - 37}{1 \cdot 10}$

Rewrite the expression.

$b = \frac{- 37}{10}$

Move the negative in front of the fraction.

$b = - \frac{37}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = - \frac{37}{10}$

Decimal Form:

$b = - 3.7$

Mixed Number Form:

$b = - 3 \frac{7}{10}$

Solve for b -2.9+b/0.1=-39.9

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