3(j+4)=-2j+j

Solution for 3(j+4)=-2j+j equation:

Simplifying
3(j + 4) = -2j + j

Reorder the terms:
3(4 + j) = -2j + j
(4 * 3 + j * 3) = -2j + j
(12 + 3j) = -2j + j

Combine like terms: -2j + j = -1j
12 + 3j = -1j

Solving
12 + 3j = -1j

Solving for variable 'j'.

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

Add 'j' to each side of the equation.
12 + 3j + j = -1j + j

Combine like terms: 3j + j = 4j
12 + 4j = -1j + j

Combine like terms: -1j + j = 0
12 + 4j = 0

Add '-12' to each side of the equation.
12 + -12 + 4j = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4j = 0 + -12
4j = 0 + -12

Combine like terms: 0 + -12 = -12
4j = -12

Divide each side by '4'.
j = -3

Simplifying
j = -3