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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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