6(j-7)+(2j+3)=37

Solution for 6(j-7)+(2j+3)=37 equation:

Simplifying
6(j + -7) + (2j + 3) = 37

Reorder the terms:
6(-7 + j) + (2j + 3) = 37
(-7 * 6 + j * 6) + (2j + 3) = 37
(-42 + 6j) + (2j + 3) = 37

Reorder the terms:
-42 + 6j + (3 + 2j) = 37

Remove parenthesis around (3 + 2j)
-42 + 6j + 3 + 2j = 37

Reorder the terms:
-42 + 3 + 6j + 2j = 37

Combine like terms: -42 + 3 = -39
-39 + 6j + 2j = 37

Combine like terms: 6j + 2j = 8j
-39 + 8j = 37

Solving
-39 + 8j = 37

Solving for variable 'j'.

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

Add '39' to each side of the equation.
-39 + 39 + 8j = 37 + 39

Combine like terms: -39 + 39 = 0
0 + 8j = 37 + 39
8j = 37 + 39

Combine like terms: 37 + 39 = 76
8j = 76

Divide each side by '8'.
j = 9.5

Simplifying
j = 9.5