7(1.6c+1.4j)-4(1.6j-2.2c)=

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Solution for 7(1.6c+1.4j)-4(1.6j-2.2c)= equation:


Simplifying
7(1.6c + 1.4j) + -4(1.6j + -2.2c) = 0
(1.6c * 7 + 1.4j * 7) + -4(1.6j + -2.2c) = 0
(11.2c + 9.8j) + -4(1.6j + -2.2c) = 0

Reorder the terms:
11.2c + 9.8j + -4(-2.2c + 1.6j) = 0
11.2c + 9.8j + (-2.2c * -4 + 1.6j * -4) = 0
11.2c + 9.8j + (8.8c + -6.4j) = 0

Reorder the terms:
11.2c + 8.8c + 9.8j + -6.4j = 0

Combine like terms: 11.2c + 8.8c = 20c
20c + 9.8j + -6.4j = 0

Combine like terms: 9.8j + -6.4j = 3.4j
20c + 3.4j = 0

Solving
20c + 3.4j = 0

Solving for variable 'c'.

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

Add '-3.4j' to each side of the equation.
20c + 3.4j + -3.4j = 0 + -3.4j

Combine like terms: 3.4j + -3.4j = 0.0
20c + 0.0 = 0 + -3.4j
20c = 0 + -3.4j
Remove the zero:
20c = -3.4j

Divide each side by '20'.
c = -0.17j

Simplifying
c = -0.17j

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