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Simplifying 2ci + 1 = -1d + 6 + -1ci Reorder the terms: 1 + 2ci = -1d + 6 + -1ci Reorder the terms: 1 + 2ci = 6 + -1ci + -1d Solving 1 + 2ci = 6 + -1ci + -1d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'ci' to each side of the equation. 1 + 2ci + ci = 6 + -1ci + ci + -1d Combine like terms: 2ci + ci = 3ci 1 + 3ci = 6 + -1ci + ci + -1d Combine like terms: -1ci + ci = 0 1 + 3ci = 6 + 0 + -1d 1 + 3ci = 6 + -1d Add '-1' to each side of the equation. 1 + -1 + 3ci = 6 + -1 + -1d Combine like terms: 1 + -1 = 0 0 + 3ci = 6 + -1 + -1d 3ci = 6 + -1 + -1d Combine like terms: 6 + -1 = 5 3ci = 5 + -1d Divide each side by '3i'. c = 1.666666667i-1 + -0.3333333333di-1 Simplifying c = 1.666666667i-1 + -0.3333333333di-1 Reorder the terms: c = -0.3333333333di-1 + 1.666666667i-1
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