Solve for j -4(8j-12)=4(-6-17j)

$- 4 (8 j - 12) = 4 (- 6 - 17 j)$

Step 1

Simplify $- 4 (8 j - 12)$ .

Rewrite.

$0 + 0 - 4 (8 j - 12) = 4 (- 6 - 17 j)$

Simplify by adding zeros.

$- 4 (8 j - 12) = 4 (- 6 - 17 j)$

Apply the distributive property.

$- 4 (8 j) - 4 \cdot - 12 = 4 (- 6 - 17 j)$

Multiply.

Multiply $8$ by $- 4$ .

$- 32 j - 4 \cdot - 12 = 4 (- 6 - 17 j)$

Multiply $- 4$ by $- 12$ .

$- 32 j + 48 = 4 (- 6 - 17 j)$

Step 2

Simplify $4 (- 6 - 17 j)$ .

Apply the distributive property.

$- 32 j + 48 = 4 \cdot - 6 + 4 (- 17 j)$

Multiply.

Multiply $4$ by $- 6$ .

$- 32 j + 48 = - 24 + 4 (- 17 j)$

Multiply $- 17$ by $4$ .

$- 32 j + 48 = - 24 - 68 j$

Step 3

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

Add $68 j$ to both sides of the equation.

$- 32 j + 48 + 68 j = - 24$

Add $- 32 j$ and $68 j$ .

$36 j + 48 = - 24$

Step 4

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

Subtract $48$ from both sides of the equation.

$36 j = - 24 - 48$

Subtract $48$ from $- 24$ .

$36 j = - 72$

Step 5

Divide each term in $36 j = - 72$ by $36$ and simplify.

Divide each term in $36 j = - 72$ by $36$ .

$\frac{36 j}{36} = \frac{- 72}{36}$

Simplify the left side.

Cancel the common factor of $36$ .

Cancel the common factor.

$\frac{36 j}{36} = \frac{- 72}{36}$

Divide $j$ by $1$ .

$j = \frac{- 72}{36}$

Simplify the right side.

Divide $- 72$ by $36$ .

$j = - 2$

Solve for j -4(8j-12)=4(-6-17j)

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