2.25-11j-7.75+1.5j=0.5j-1

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Solution for 2.25-11j-7.75+1.5j=0.5j-1 equation:


Simplifying
2.25 + -11j + -7.75 + 1.5j = 0.5j + -1

Reorder the terms:
2.25 + -7.75 + -11j + 1.5j = 0.5j + -1

Combine like terms: 2.25 + -7.75 = -5.5
-5.5 + -11j + 1.5j = 0.5j + -1

Combine like terms: -11j + 1.5j = -9.5j
-5.5 + -9.5j = 0.5j + -1

Reorder the terms:
-5.5 + -9.5j = -1 + 0.5j

Solving
-5.5 + -9.5j = -1 + 0.5j

Solving for variable 'j'.

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

Add '-0.5j' to each side of the equation.
-5.5 + -9.5j + -0.5j = -1 + 0.5j + -0.5j

Combine like terms: -9.5j + -0.5j = -10j
-5.5 + -10j = -1 + 0.5j + -0.5j

Combine like terms: 0.5j + -0.5j = 0.0
-5.5 + -10j = -1 + 0.0
-5.5 + -10j = -1

Add '5.5' to each side of the equation.
-5.5 + 5.5 + -10j = -1 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + -10j = -1 + 5.5
-10j = -1 + 5.5

Combine like terms: -1 + 5.5 = 4.5
-10j = 4.5

Divide each side by '-10'.
j = -0.45

Simplifying
j = -0.45

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