Simplify to create an equivalent expression (2j+1) 9-7j

11j + 9

Step-by-step explanation:

(2j + 1) 9 - 7j

or

9 (2j + 1) - 7j

18j + 9 - 7j

18j - 7j + 9

11j + 9

Simplifying

(2j + 1) * 9 + - 7j = 0

Reorder the terms:

(1 + 2j) * 9 + - 7j = 0

Reorder the terms for easier multiplication:

9 (1 + 2j) + - 7j = 0

(1 * 9 + 2j * 9) + - 7j = 0

(9 + 18j) + - 7j = 0

Combine like terms: 18j + - 7j = 11j

9 + 11j = 0

Solving

9 + 11j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + - 9 + 11j = 0 + - 9

Combine like terms: 9 + - 9 = 0

0 + 11j = 0 + - 9

11j = 0 + - 9

Combine like terms: 0 + - 9 = - 9

11j = - 9

Divide each side by '11'.

j = - 0.8181818182

Simplifying

j = - 0.8181818182