6(2j+6)+4j=4(j-30)

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Solution for 6(2j+6)+4j=4(j-30) equation: 


Simplifying
6(2j + 6) + 4j = 4(j + -30)

Reorder the terms:
6(6 + 2j) + 4j = 4(j + -30)
(6 * 6 + 2j * 6) + 4j = 4(j + -30)
(36 + 12j) + 4j = 4(j + -30)

Combine like terms: 12j + 4j = 16j
36 + 16j = 4(j + -30)

Reorder the terms:
36 + 16j = 4(-30 + j)
36 + 16j = (-30 * 4 + j * 4)
36 + 16j = (-120 + 4j)

Solving
36 + 16j = -120 + 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.
36 + 16j + -4j = -120 + 4j + -4j

Combine like terms: 16j + -4j = 12j
36 + 12j = -120 + 4j + -4j

Combine like terms: 4j + -4j = 0
36 + 12j = -120 + 0
36 + 12j = -120

Add '-36' to each side of the equation.
36 + -36 + 12j = -120 + -36

Combine like terms: 36 + -36 = 0
0 + 12j = -120 + -36
12j = -120 + -36

Combine like terms: -120 + -36 = -156
12j = -156

Divide each side by '12'.
j = -13

Simplifying
j = -13

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