9j-3=-6(j-7)

Solution for 9j-3=-6(j-7) equation:

Simplifying
9j + -3 = -6(j + -7)

Reorder the terms:
-3 + 9j = -6(j + -7)

Reorder the terms:
-3 + 9j = -6(-7 + j)
-3 + 9j = (-7 * -6 + j * -6)
-3 + 9j = (42 + -6j)

Solving
-3 + 9j = 42 + -6j

Solving for variable 'j'.

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

Add '6j' to each side of the equation.
-3 + 9j + 6j = 42 + -6j + 6j

Combine like terms: 9j + 6j = 15j
-3 + 15j = 42 + -6j + 6j

Combine like terms: -6j + 6j = 0
-3 + 15j = 42 + 0
-3 + 15j = 42

Add '3' to each side of the equation.
-3 + 3 + 15j = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 15j = 42 + 3
15j = 42 + 3

Combine like terms: 42 + 3 = 45
15j = 45

Divide each side by '15'.
j = 3

Simplifying
j = 3