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Simplifying 8i + -5c + -1(12 + 2c) = 0 8i + -5c + (12 * -1 + 2c * -1) = 0 8i + -5c + (-12 + -2c) = 0 Reorder the terms: -12 + -5c + -2c + 8i = 0 Combine like terms: -5c + -2c = -7c -12 + -7c + 8i = 0 Solving -12 + -7c + 8i = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -7c + 12 + 8i = 0 + 12 Reorder the terms: -12 + 12 + -7c + 8i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7c + 8i = 0 + 12 -7c + 8i = 0 + 12 Combine like terms: 0 + 12 = 12 -7c + 8i = 12 Add '-8i' to each side of the equation. -7c + 8i + -8i = 12 + -8i Combine like terms: 8i + -8i = 0 -7c + 0 = 12 + -8i -7c = 12 + -8i Divide each side by '-7'. c = -1.714285714 + 1.142857143i Simplifying c = -1.714285714 + 1.142857143i
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