Finite Math Examples

$4 = \frac{3}{4} \cdot 8 + b$

Step 1

Rewrite the equation as $\frac{3}{4} \cdot 8 + b = 4$ .

$\frac{3}{4} \cdot 8 + b = 4$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Factor $4$ out of $8$ .

$\frac{3}{4} \cdot (4 (2)) + b = 4$

Step 2.1.2

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 2) + b = 4$

Step 2.1.3

Rewrite the expression.

$3 \cdot 2 + b = 4$

Step 2.2

Multiply $3$ by $2$ .

$6 + b = 4$

Step 3

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

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Step 3.1

Subtract $6$ from both sides of the equation.

$b = 4 - 6$

Step 3.2

Subtract $6$ from $4$ .

$b = - 2$