Answer:
j = 4/3
Explanation:
(2/5)(10j - 25 + 15j) - (3/2)(6j - 4) = -2j
Add like terms inside left set of parentheses.
(2/5)(25j - 25) - (3/2)(6j - 4) = -2j
Distribute 2/5. Distribute 3/2.
(2/5)(25j) - (2/5)(25) - (3/2)(6j) - (3/2)(-4) = -2j
Do all multiplications with fractions.
10j - 10 - 9j + 6 = -2j
Combine like terms on the left side.
j - 4 = -2j
Add 2j to both sides.
3j - 4 = 0
Add 4 to both sides.
3j = 4
Divide both sides by 3.
j = 4/3