Basic Math Examples

$4 (2 b - 1) - 3 b + 6 - \frac{7}{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 (2 b) + 4 \cdot - 1 - 3 b + 6 - \frac{7}{2}$

Step 1.2

Multiply $2$ by $4$ .

$8 b + 4 \cdot - 1 - 3 b + 6 - \frac{7}{2}$

Step 1.3

Multiply $4$ by $- 1$ .

$8 b - 4 - 3 b + 6 - \frac{7}{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 b$ from $8 b$ .

$5 b - 4 + 6 - \frac{7}{2}$

Step 2.2

Add $- 4$ and $6$ .

$5 b + 2 - \frac{7}{2}$

Step 3

To write $2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$5 b + 2 \cdot \frac{2}{2} - \frac{7}{2}$

Step 4

Combine $2$ and $\frac{2}{2}$ .

$5 b + \frac{2 \cdot 2}{2} - \frac{7}{2}$

Step 5

Combine the numerators over the common denominator.

$5 b + \frac{2 \cdot 2 - 7}{2}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $2$ by $2$ .

$5 b + \frac{4 - 7}{2}$

Step 6.2

Subtract $7$ from $4$ .

$5 b + \frac{- 3}{2}$

Step 7

Move the negative in front of the fraction.

$5 b - \frac{3}{2}$