66.6(6j+9)=3j+7

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Solution for 66.6(6j+9)=3j+7 equation:


Simplifying
66.6(6j + 9) = 3j + 7

Reorder the terms:
66.6(9 + 6j) = 3j + 7
(9 * 66.6 + 6j * 66.6) = 3j + 7
(599.4 + 399.6j) = 3j + 7

Reorder the terms:
599.4 + 399.6j = 7 + 3j

Solving
599.4 + 399.6j = 7 + 3j

Solving for variable 'j'.

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

Add '-3j' to each side of the equation.
599.4 + 399.6j + -3j = 7 + 3j + -3j

Combine like terms: 399.6j + -3j = 396.6j
599.4 + 396.6j = 7 + 3j + -3j

Combine like terms: 3j + -3j = 0
599.4 + 396.6j = 7 + 0
599.4 + 396.6j = 7

Add '-599.4' to each side of the equation.
599.4 + -599.4 + 396.6j = 7 + -599.4

Combine like terms: 599.4 + -599.4 = 0.0
0.0 + 396.6j = 7 + -599.4
396.6j = 7 + -599.4

Combine like terms: 7 + -599.4 = -592.4
396.6j = -592.4

Divide each side by '396.6'.
j = -1.49369642

Simplifying
j = -1.49369642

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