Question

40=14j=2(-4j-13

Answer 1

Simplifying
40 + 14j = 2(-4j + -13)

Reorder the terms:
40 + 14j = 2(-13 + -4j)
40 + 14j = (-13 * 2 + -4j * 2)
40 + 14j = (-26 + -8j)

Solving
40 + 14j = -26 + -8j

Solving for variable 'j'.

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

Add '8j' to each side of the equation.
40 + 14j + 8j = -26 + -8j + 8j

Combine like terms: 14j + 8j = 22j
40 + 22j = -26 + -8j + 8j

Combine like terms: -8j + 8j = 0
40 + 22j = -26 + 0
40 + 22j = -26

Add '-40' to each side of the equation.
40 + -40 + 22j = -26 + -40

Combine like terms: 40 + -40 = 0
0 + 22j = -26 + -40
22j = -26 + -40

Combine like terms: -26 + -40 = -66
22j = -66

Divide each side by '22'.
j = -3

Simplifying
j = -3