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Simplifying (5 + -3i)(2) + -3(2) = 4 + -6i Reorder the terms for easier multiplication: 2(5 + -3i) + -3(2) = 4 + -6i (5 * 2 + -3i * 2) + -3(2) = 4 + -6i (10 + -6i) + -3(2) = 4 + -6i Multiply -3 * 2 10 + -6i + -6 = 4 + -6i Reorder the terms: 10 + -6 + -6i = 4 + -6i Combine like terms: 10 + -6 = 4 4 + -6i = 4 + -6i Add '-4' to each side of the equation. 4 + -4 + -6i = 4 + -4 + -6i Combine like terms: 4 + -4 = 0 0 + -6i = 4 + -4 + -6i -6i = 4 + -4 + -6i Combine like terms: 4 + -4 = 0 -6i = 0 + -6i -6i = -6i Add '6i' to each side of the equation. -6i + 6i = -6i + 6i Combine like terms: -6i + 6i = 0 0 = -6i + 6i Combine like terms: -6i + 6i = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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