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Simplifying (5 + 2i) + -1(-6 + -3c) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(-6 + -3c) = 0 5 + 2i + (-6 * -1 + -3c * -1) = 0 5 + 2i + (6 + 3c) = 0 Reorder the terms: 5 + 6 + 3c + 2i = 0 Combine like terms: 5 + 6 = 11 11 + 3c + 2i = 0 Solving 11 + 3c + 2i = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 3c + -11 + 2i = 0 + -11 Reorder the terms: 11 + -11 + 3c + 2i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3c + 2i = 0 + -11 3c + 2i = 0 + -11 Combine like terms: 0 + -11 = -11 3c + 2i = -11 Add '-2i' to each side of the equation. 3c + 2i + -2i = -11 + -2i Combine like terms: 2i + -2i = 0 3c + 0 = -11 + -2i 3c = -11 + -2i Divide each side by '3'. c = -3.666666667 + -0.6666666667i Simplifying c = -3.666666667 + -0.6666666667i
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