Finite Math Examples

$0.2 (16) + 0.2 (19) + (M - 2.35) (16) = 8.7$

Step 1

Simplify $0.2 (16) + 0.2 (19) + (M - 2.35) \cdot 16$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Multiply $0.2$ by $16$ .

$3.2 + 0.2 (19) + (M - 2.35) \cdot 16 = 8.7$

Step 1.1.2

Multiply $0.2$ by $19$ .

$3.2 + 3.8 + (M - 2.35) \cdot 16 = 8.7$

Step 1.1.3

Apply the distributive property.

$3.2 + 3.8 + M \cdot 16 - 2.35 \cdot 16 = 8.7$

Step 1.1.4

Move $16$ to the left of $M$ .

$3.2 + 3.8 + 16 \cdot M - 2.35 \cdot 16 = 8.7$

Step 1.1.5

Multiply $- 2.35$ by $16$ .

$3.2 + 3.8 + 16 M - 37.6 = 8.7$

Step 1.2

Simplify by adding and subtracting.

Tap for more steps...

Step 1.2.1

Add $3.2$ and $3.8$ .

$7 + 16 M - 37.6 = 8.7$

Step 1.2.2

Subtract $37.6$ from $7$ .

$16 M - 30.6 = 8.7$

Step 2

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

Tap for more steps...

Step 2.1

Add $30.6$ to both sides of the equation.

$16 M = 8.7 + 30.6$

Step 2.2

Add $8.7$ and $30.6$ .

$16 M = 39.3$

Step 3

Divide each term in $16 M = 39.3$ by $16$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $16 M = 39.3$ by $16$ .

$\frac{16 M}{16} = \frac{39.3}{16}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $16$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{16 M}{16} = \frac{39.3}{16}$

Step 3.2.1.2

Divide $M$ by $1$ .

$M = \frac{39.3}{16}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $39.3$ by $16$ .

$M = 2.45625$