Basic Math Examples

$32 + 8 (12 a - 4) = 84$

Step 1

Simplify $32 + 8 (12 a - 4)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$32 + 8 (12 a) + 8 \cdot - 4 = 84$

Step 1.1.2

Multiply $12$ by $8$ .

$32 + 96 a + 8 \cdot - 4 = 84$

Step 1.1.3

Multiply $8$ by $- 4$ .

$32 + 96 a - 32 = 84$

$32 + 96 a - 32 = 84$

Step 1.2

Combine the opposite terms in $32 + 96 a - 32$ .

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Step 1.2.1

Subtract $32$ from $32$ .

$96 a + 0 = 84$

Step 1.2.2

Add $96 a$ and $0$ .

$96 a = 84$

$96 a = 84$

$96 a = 84$

Step 2

Divide each term in $96 a = 84$ by $96$ and simplify.

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Step 2.1

Divide each term in $96 a = 84$ by $96$ .

$\frac{96 a}{96} = \frac{84}{96}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $96$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{96 a}{96} = \frac{84}{96}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{84}{96}$

$a = \frac{84}{96}$

$a = \frac{84}{96}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $84$ and $96$ .

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Step 2.3.1.1

Factor $12$ out of $84$ .

$a = \frac{12 (7)}{96}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $12$ out of $96$ .

$a = \frac{12 \cdot 7}{12 \cdot 8}$

Step 2.3.1.2.2

Cancel the common factor.

$a = \frac{12 \cdot 7}{12 \cdot 8}$

Step 2.3.1.2.3

Rewrite the expression.

$a = \frac{7}{8}$

$a = \frac{7}{8}$

$a = \frac{7}{8}$

$a = \frac{7}{8}$

$a = \frac{7}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{7}{8}$

Decimal Form:

$a = 0.875$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$