1(j-3)+3j=45

Solution for 1(j-3)+3j=45 equation:

Simplifying
1(j + -3) + 3j = 45

Reorder the terms:
1(-3 + j) + 3j = 45
(-3 * 1 + j * 1) + 3j = 45
(-3 + 1j) + 3j = 45

Combine like terms: 1j + 3j = 4j
-3 + 4j = 45

Solving
-3 + 4j = 45

Solving for variable 'j'.

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

Add '3' to each side of the equation.
-3 + 3 + 4j = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 4j = 45 + 3
4j = 45 + 3

Combine like terms: 45 + 3 = 48
4j = 48

Divide each side by '4'.
j = 12

Simplifying
j = 12