(6j-7)=(3j+2)

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Solution for (6j-7)=(3j+2) equation:


Simplifying
(6j + -7) = (3j + 2)

Reorder the terms:
(-7 + 6j) = (3j + 2)

Remove parenthesis around (-7 + 6j)
-7 + 6j = (3j + 2)

Reorder the terms:
-7 + 6j = (2 + 3j)

Remove parenthesis around (2 + 3j)
-7 + 6j = 2 + 3j

Solving
-7 + 6j = 2 + 3j

Solving for variable 'j'.

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

Add '-3j' to each side of the equation.
-7 + 6j + -3j = 2 + 3j + -3j

Combine like terms: 6j + -3j = 3j
-7 + 3j = 2 + 3j + -3j

Combine like terms: 3j + -3j = 0
-7 + 3j = 2 + 0
-7 + 3j = 2

Add '7' to each side of the equation.
-7 + 7 + 3j = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 3j = 2 + 7
3j = 2 + 7

Combine like terms: 2 + 7 = 9
3j = 9

Divide each side by '3'.
j = 3

Simplifying
j = 3

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