Basic Math Examples

$4 (k + 2) - k = - 6 + 9$

Step 1

Simplify $4 (k + 2) - k$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 k + 4 \cdot 2 - k = - 6 + 9$

Step 1.1.2

Multiply $4$ by $2$ .

$4 k + 8 - k = - 6 + 9$

Step 1.2

Subtract $k$ from $4 k$ .

$3 k + 8 = - 6 + 9$

Step 2

Add $- 6$ and $9$ .

$3 k + 8 = 3$

Step 3

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

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Step 3.1

Subtract $8$ from both sides of the equation.

$3 k = 3 - 8$

Step 3.2

Subtract $8$ from $3$ .

$3 k = - 5$

Step 4

Divide each term in $3 k = - 5$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 k = - 5$ by $3$ .

$\frac{3 k}{3} = \frac{- 5}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 k}{3} = \frac{- 5}{3}$

Step 4.2.1.2

Divide $k$ by $1$ .

$k = \frac{- 5}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$k = - \frac{5}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$k = - \frac{5}{3}$

Decimal Form:

$k = - 1.\overline{6}$

Mixed Number Form:

$k = - 1 \frac{2}{3}$