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Simplifying -46 + -2i = 42 + 7i * 6 Reorder the terms for easier multiplication: -46 + -2i = 42 + 7 * 6i Multiply 7 * 6 -46 + -2i = 42 + 42i Solving -46 + -2i = 42 + 42i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-42i' to each side of the equation. -46 + -2i + -42i = 42 + 42i + -42i Combine like terms: -2i + -42i = -44i -46 + -44i = 42 + 42i + -42i Combine like terms: 42i + -42i = 0 -46 + -44i = 42 + 0 -46 + -44i = 42 Add '46' to each side of the equation. -46 + 46 + -44i = 42 + 46 Combine like terms: -46 + 46 = 0 0 + -44i = 42 + 46 -44i = 42 + 46 Combine like terms: 42 + 46 = 88 -44i = 88 Divide each side by '-44'. i = -2 Simplifying i = -2
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