14-.20(j-10)=.40(25+j)

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Solution for 14-.20(j-10)=.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 = 16
16 + -0.20j = 0.40(25 + j)
16 + -0.20j = (25 * 0.40 + j * 0.40)
16 + -0.20j = (10 + 0.40j)

Solving
16 + -0.20j = 10 + 0.40j

Solving for variable 'j'.

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

Add '-0.40j' to each side of the equation.
16 + -0.20j + -0.40j = 10 + 0.40j + -0.40j

Combine like terms: -0.20j + -0.40j = -0.6j
16 + -0.6j = 10 + 0.40j + -0.40j

Combine like terms: 0.40j + -0.40j = 0.00
16 + -0.6j = 10 + 0.00
16 + -0.6j = 10

Add '-16' to each side of the equation.
16 + -16 + -0.6j = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -0.6j = 10 + -16
-0.6j = 10 + -16

Combine like terms: 10 + -16 = -6
-0.6j = -6

Divide each side by '-0.6'.
j = 10

Simplifying
j = 10

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