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Simplifying 3q + 21c + -24 + 30i = 0 Reorder the terms: -24 + 21c + 30i + 3q = 0 Solving -24 + 21c + 30i + 3q = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 21c + 30i + 24 + 3q = 0 + 24 Reorder the terms: -24 + 24 + 21c + 30i + 3q = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 21c + 30i + 3q = 0 + 24 21c + 30i + 3q = 0 + 24 Combine like terms: 0 + 24 = 24 21c + 30i + 3q = 24 Add '-30i' to each side of the equation. 21c + 30i + -30i + 3q = 24 + -30i Combine like terms: 30i + -30i = 0 21c + 0 + 3q = 24 + -30i 21c + 3q = 24 + -30i Add '-3q' to each side of the equation. 21c + 3q + -3q = 24 + -30i + -3q Combine like terms: 3q + -3q = 0 21c + 0 = 24 + -30i + -3q 21c = 24 + -30i + -3q Divide each side by '21'. c = 1.142857143 + -1.428571429i + -0.1428571429q Simplifying c = 1.142857143 + -1.428571429i + -0.1428571429q
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