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Simplifying 15 + -3z = i(5 + 2z) 15 + -3z = (5 * i + 2z * i) 15 + -3z = (5i + 2iz) Solving 15 + -3z = 5i + 2iz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2iz' to each side of the equation. 15 + -2iz + -3z = 5i + 2iz + -2iz Combine like terms: 2iz + -2iz = 0 15 + -2iz + -3z = 5i + 0 15 + -2iz + -3z = 5i Add '-15' to each side of the equation. 15 + -2iz + -15 + -3z = -15 + 5i Reorder the terms: 15 + -15 + -2iz + -3z = -15 + 5i Combine like terms: 15 + -15 = 0 0 + -2iz + -3z = -15 + 5i -2iz + -3z = -15 + 5i Reorder the terms: 15 + -5i + -2iz + -3z = -15 + 5i + 15 + -5i Reorder the terms: 15 + -5i + -2iz + -3z = -15 + 15 + 5i + -5i Combine like terms: -15 + 15 = 0 15 + -5i + -2iz + -3z = 0 + 5i + -5i 15 + -5i + -2iz + -3z = 5i + -5i Combine like terms: 5i + -5i = 0 15 + -5i + -2iz + -3z = 0 The solution to this equation could not be determined.
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