13-13i+7=5i+15-10i-3

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Solution for 13-13i+7=5i+15-10i-3 equation:


Simplifying
13 + -13i + 7 = 5i + 15 + -10i + -3

Reorder the terms:
13 + 7 + -13i = 5i + 15 + -10i + -3

Combine like terms: 13 + 7 = 20
20 + -13i = 5i + 15 + -10i + -3

Reorder the terms:
20 + -13i = 15 + -3 + 5i + -10i

Combine like terms: 15 + -3 = 12
20 + -13i = 12 + 5i + -10i

Combine like terms: 5i + -10i = -5i
20 + -13i = 12 + -5i

Solving
20 + -13i = 12 + -5i

Solving for variable 'i'.

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

Add '5i' to each side of the equation.
20 + -13i + 5i = 12 + -5i + 5i

Combine like terms: -13i + 5i = -8i
20 + -8i = 12 + -5i + 5i

Combine like terms: -5i + 5i = 0
20 + -8i = 12 + 0
20 + -8i = 12

Add '-20' to each side of the equation.
20 + -20 + -8i = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -8i = 12 + -20
-8i = 12 + -20

Combine like terms: 12 + -20 = -8
-8i = -8

Divide each side by '-8'.
i = 1

Simplifying
i = 1

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