Algebra Examples

$3 (- 6 j - 2) = - 13 - 11 j - 6 j$

Step 1

Since $j$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 13 - 11 j - 6 j = 3 (- 6 j - 2)$

Step 2

Subtract $6 j$ from $- 11 j$ .

$- 13 - 17 j = 3 (- 6 j - 2)$

Step 3

Simplify $3 (- 6 j - 2)$ .

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Step 3.1

Apply the distributive property.

$- 13 - 17 j = 3 (- 6 j) + 3 \cdot - 2$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $- 6$ by $3$ .

$- 13 - 17 j = - 18 j + 3 \cdot - 2$

Step 3.2.2

Multiply $3$ by $- 2$ .

$- 13 - 17 j = - 18 j - 6$

Step 4

Move all terms containing $j$ to the left side of the equation.

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Step 4.1

Add $18 j$ to both sides of the equation.

$- 13 - 17 j + 18 j = - 6$

Step 4.2

Add $- 17 j$ and $18 j$ .

$- 13 + j = - 6$

Step 5

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

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Step 5.1

Add $13$ to both sides of the equation.

$j = - 6 + 13$

Step 5.2

Add $- 6$ and $13$ .

$j = 7$