14-5(j-10)=2.5(25+j)

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Solution for 14-5(j-10)=2.5(25+j) equation: 


Simplifying
14 + -5(j + -10) = 2.5(25 + j)

Reorder the terms:
14 + -5(-10 + j) = 2.5(25 + j)
14 + (-10 * -5 + j * -5) = 2.5(25 + j)
14 + (50 + -5j) = 2.5(25 + j)

Combine like terms: 14 + 50 = 64
64 + -5j = 2.5(25 + j)
64 + -5j = (25 * 2.5 + j * 2.5)
64 + -5j = (62.5 + 2.5j)

Solving
64 + -5j = 62.5 + 2.5j

Solving for variable 'j'.

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

Add '-2.5j' to each side of the equation.
64 + -5j + -2.5j = 62.5 + 2.5j + -2.5j

Combine like terms: -5j + -2.5j = -7.5j
64 + -7.5j = 62.5 + 2.5j + -2.5j

Combine like terms: 2.5j + -2.5j = 0.0
64 + -7.5j = 62.5 + 0.0
64 + -7.5j = 62.5

Add '-64' to each side of the equation.
64 + -64 + -7.5j = 62.5 + -64

Combine like terms: 64 + -64 = 0
0 + -7.5j = 62.5 + -64
-7.5j = 62.5 + -64

Combine like terms: 62.5 + -64 = -1.5
-7.5j = -1.5

Divide each side by '-7.5'.
j = 0.2

Simplifying
j = 0.2

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