.75(6j+9)=3j+7

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Solution for .75(6j+9)=3j+7 equation:


Simplifying
0.75(6j + 9) = 3j + 7

Reorder the terms:
0.75(9 + 6j) = 3j + 7
(9 * 0.75 + 6j * 0.75) = 3j + 7
(6.75 + 4.5j) = 3j + 7

Reorder the terms:
6.75 + 4.5j = 7 + 3j

Solving
6.75 + 4.5j = 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.
6.75 + 4.5j + -3j = 7 + 3j + -3j

Combine like terms: 4.5j + -3j = 1.5j
6.75 + 1.5j = 7 + 3j + -3j

Combine like terms: 3j + -3j = 0
6.75 + 1.5j = 7 + 0
6.75 + 1.5j = 7

Add '-6.75' to each side of the equation.
6.75 + -6.75 + 1.5j = 7 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + 1.5j = 7 + -6.75
1.5j = 7 + -6.75

Combine like terms: 7 + -6.75 = 0.25
1.5j = 0.25

Divide each side by '1.5'.
j = 0.1666666667

Simplifying
j = 0.1666666667

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