4.8[j+3]=1.2[2j-8]

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Solution for 4.8[j+3]=1.2[2j-8] equation: 


Simplifying
4.8[j + 3] = 1.2[2j + -8]

Reorder the terms:
4.8[3 + j] = 1.2[2j + -8]
[3 * 4.8 + j * 4.8] = 1.2[2j + -8]
[14.4 + 4.8j] = 1.2[2j + -8]

Reorder the terms:
14.4 + 4.8j = 1.2[-8 + 2j]
14.4 + 4.8j = [-8 * 1.2 + 2j * 1.2]
14.4 + 4.8j = [-9.6 + 2.4j]

Solving
14.4 + 4.8j = -9.6 + 2.4j

Solving for variable 'j'.

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

Add '-2.4j' to each side of the equation.
14.4 + 4.8j + -2.4j = -9.6 + 2.4j + -2.4j

Combine like terms: 4.8j + -2.4j = 2.4j
14.4 + 2.4j = -9.6 + 2.4j + -2.4j

Combine like terms: 2.4j + -2.4j = 0.0
14.4 + 2.4j = -9.6 + 0.0
14.4 + 2.4j = -9.6

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 2.4j = -9.6 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 2.4j = -9.6 + -14.4
2.4j = -9.6 + -14.4

Combine like terms: -9.6 + -14.4 = -24
2.4j = -24

Divide each side by '2.4'.
j = -10

Simplifying
j = -10

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