14-0.20(J+10)=0.40(25+j)

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Solution for 14-0.20(J+10)=0.40(25+j) equation: 


Simplifying
14 + -0.20(J + 10) = 0.40(25 + j)

Reorder the terms:
14 + -0.20(10 + J) = 0.40(25 + j)
14 + (10 * -0.20 + J * -0.20) = 0.40(25 + j)
14 + (-2 + -0.20J) = 0.40(25 + j)

Combine like terms: 14 + -2 = 12
12 + -0.20J = 0.40(25 + j)
12 + -0.20J = (25 * 0.40 + j * 0.40)
12 + -0.20J = (10 + 0.40j)

Solving
12 + -0.20J = 10 + 0.40j

Solving for variable 'J'.

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

Add '-12' to each side of the equation.
12 + -12 + -0.20J = 10 + -12 + 0.40j

Combine like terms: 12 + -12 = 0
0 + -0.20J = 10 + -12 + 0.40j
-0.20J = 10 + -12 + 0.40j

Combine like terms: 10 + -12 = -2
-0.20J = -2 + 0.40j

Divide each side by '-0.20'.
J = 10 + -2j

Simplifying
J = 10 + -2j

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