Basic Math Examples

$4 \cdot (4 b) + 39.9 a + 93.1 b = 1330$

Step 1

Simplify $4 \cdot (4 b) + 39.9 a + 93.1 b$ .

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Step 1.1

Multiply $4$ by $4$ .

$16 b + 39.9 a + 93.1 b = 1330$

Step 1.2

Add $16 b$ and $93.1 b$ .

$39.9 a + 109.1 b = 1330$

Step 2

Subtract $109.1 b$ from both sides of the equation.

$39.9 a = 1330 - 109.1 b$

Step 3

Divide each term in $39.9 a = 1330 - 109.1 b$ by $39.9$ and simplify.

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Step 3.1

Divide each term in $39.9 a = 1330 - 109.1 b$ by $39.9$ .

$\frac{39.9 a}{39.9} = \frac{1330}{39.9} + \frac{- 109.1 b}{39.9}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $39.9$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{39.9 a}{39.9} = \frac{1330}{39.9} + \frac{- 109.1 b}{39.9}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{1330}{39.9} + \frac{- 109.1 b}{39.9}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide $1330$ by $39.9$ .

$a = 33.\overline{3} + \frac{- 109.1 b}{39.9}$

Step 3.3.1.2

Move the negative in front of the fraction.

$a = 33.\overline{3} - \frac{109.1 b}{39.9}$

Step 3.3.1.3

Factor $109.1$ out of $109.1 b$ .

$a = 33.\overline{3} - \frac{109.1 (b)}{39.9}$

Step 3.3.1.4

Factor $39.9$ out of $39.9$ .

$a = 33.\overline{3} - \frac{109.1 (b)}{39.9 (1)}$

Step 3.3.1.5

Separate fractions.

$a = 33.\overline{3} - (\frac{109.1}{39.9} \cdot \frac{b}{1})$

Step 3.3.1.6

Divide $109.1$ by $39.9$ .

$a = 33.\overline{3} - (2.73433583 \frac{b}{1})$

Step 3.3.1.7

Divide $b$ by $1$ .

$a = 33.\overline{3} - (2.73433583 b)$

Step 3.3.1.8

Multiply $2.73433583$ by $- 1$ .

$a = 33.\overline{3} - 2.73433583 b$