5(20j-14)=8(20j-5)

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Solution for 5(20j-14)=8(20j-5) equation: 


Simplifying
5(20j + -14) = 8(20j + -5)

Reorder the terms:
5(-14 + 20j) = 8(20j + -5)
(-14 * 5 + 20j * 5) = 8(20j + -5)
(-70 + 100j) = 8(20j + -5)

Reorder the terms:
-70 + 100j = 8(-5 + 20j)
-70 + 100j = (-5 * 8 + 20j * 8)
-70 + 100j = (-40 + 160j)

Solving
-70 + 100j = -40 + 160j

Solving for variable 'j'.

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

Add '-160j' to each side of the equation.
-70 + 100j + -160j = -40 + 160j + -160j

Combine like terms: 100j + -160j = -60j
-70 + -60j = -40 + 160j + -160j

Combine like terms: 160j + -160j = 0
-70 + -60j = -40 + 0
-70 + -60j = -40

Add '70' to each side of the equation.
-70 + 70 + -60j = -40 + 70

Combine like terms: -70 + 70 = 0
0 + -60j = -40 + 70
-60j = -40 + 70

Combine like terms: -40 + 70 = 30
-60j = 30

Divide each side by '-60'.
j = -0.5

Simplifying
j = -0.5

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