Basic Math Examples

$4 = - 7 (- 3 + b)$

Step 1

Rewrite the equation as $- 7 (- 3 + b) = 4$ .

$- 7 (- 3 + b) = 4$

Step 2

Divide each term in $- 7 (- 3 + b) = 4$ by $- 7$ and simplify.

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Step 2.1

Divide each term in $- 7 (- 3 + b) = 4$ by $- 7$ .

$\frac{- 7 (- 3 + b)}{- 7} = \frac{4}{- 7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 7 (- 3 + b)}{- 7} = \frac{4}{- 7}$

Step 2.2.1.2

Divide $- 3 + b$ by $1$ .

$- 3 + b = \frac{4}{- 7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$- 3 + b = - \frac{4}{7}$

Step 3

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

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Step 3.1

Add $3$ to both sides of the equation.

$b = - \frac{4}{7} + 3$

Step 3.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$b = - \frac{4}{7} + 3 \cdot \frac{7}{7}$

Step 3.3

Combine $3$ and $\frac{7}{7}$ .

$b = - \frac{4}{7} + \frac{3 \cdot 7}{7}$

Step 3.4

Combine the numerators over the common denominator.

$b = \frac{- 4 + 3 \cdot 7}{7}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $3$ by $7$ .

$b = \frac{- 4 + 21}{7}$

Step 3.5.2

Add $- 4$ and $21$ .

$b = \frac{17}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \frac{17}{7}$

Decimal Form:

$b = 2.\overline{428571}$

Mixed Number Form:

$b = 2 \frac{3}{7}$