-2j+(3j+1)-3(6+j)=1

Solution for -2j+(3j+1)-3(6+j)=1 equation:

Simplifying
-2j + (3j + 1) + -3(6 + j) = 1

Reorder the terms:
-2j + (1 + 3j) + -3(6 + j) = 1

Remove parenthesis around (1 + 3j)
-2j + 1 + 3j + -3(6 + j) = 1
-2j + 1 + 3j + (6 * -3 + j * -3) = 1
-2j + 1 + 3j + (-18 + -3j) = 1

Reorder the terms:
1 + -18 + -2j + 3j + -3j = 1

Combine like terms: 1 + -18 = -17
-17 + -2j + 3j + -3j = 1

Combine like terms: -2j + 3j = 1j
-17 + 1j + -3j = 1

Combine like terms: 1j + -3j = -2j
-17 + -2j = 1

Solving
-17 + -2j = 1

Solving for variable 'j'.

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

Add '17' to each side of the equation.
-17 + 17 + -2j = 1 + 17

Combine like terms: -17 + 17 = 0
0 + -2j = 1 + 17
-2j = 1 + 17

Combine like terms: 1 + 17 = 18
-2j = 18

Divide each side by '-2'.
j = -9

Simplifying
j = -9