3(j+1)=4j-1

Solution for 3(j+1)=4j-1 equation:

Simplifying
3(j + 1) = 4j + -1

Reorder the terms:
3(1 + j) = 4j + -1
(1 * 3 + j * 3) = 4j + -1
(3 + 3j) = 4j + -1

Reorder the terms:
3 + 3j = -1 + 4j

Solving
3 + 3j = -1 + 4j

Solving for variable 'j'.

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

Add '-4j' to each side of the equation.
3 + 3j + -4j = -1 + 4j + -4j

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

Combine like terms: 4j + -4j = 0
3 + -1j = -1 + 0
3 + -1j = -1

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

Combine like terms: 3 + -3 = 0
0 + -1j = -1 + -3
-1j = -1 + -3

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

Divide each side by '-1'.
j = 4

Simplifying
j = 4