6(2.9+5.6)=-4(3.1-7.3j)+2.1

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Solution for 6(2.9+5.6)=-4(3.1-7.3j)+2.1 equation: 


Simplifying
6(2.9 + 5.6) = -4(3.1 + -7.3j) + 2.1

Combine like terms: 2.9 + 5.6 = 8.5
6(8.5) = -4(3.1 + -7.3j) + 2.1

Multiply 6 * 8.5
51 = -4(3.1 + -7.3j) + 2.1
51 = (3.1 * -4 + -7.3j * -4) + 2.1
51 = (-12.4 + 29.2j) + 2.1

Reorder the terms:
51 = -12.4 + 2.1 + 29.2j

Combine like terms: -12.4 + 2.1 = -10.3
51 = -10.3 + 29.2j

Solving
51 = -10.3 + 29.2j

Solving for variable 'j'.

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

Add '-29.2j' to each side of the equation.
51 + -29.2j = -10.3 + 29.2j + -29.2j

Combine like terms: 29.2j + -29.2j = 0.0
51 + -29.2j = -10.3 + 0.0
51 + -29.2j = -10.3

Add '-51' to each side of the equation.
51 + -51 + -29.2j = -10.3 + -51

Combine like terms: 51 + -51 = 0
0 + -29.2j = -10.3 + -51
-29.2j = -10.3 + -51

Combine like terms: -10.3 + -51 = -61.3
-29.2j = -61.3

Divide each side by '-29.2'.
j = 2.099315068

Simplifying
j = 2.099315068

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