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Simplifying (7 + m) + (4l + -10) * i = 3 + -6i Remove parenthesis around (7 + m) 7 + m + (4l + -10) * i = 3 + -6i Reorder the terms: 7 + m + (-10 + 4l) * i = 3 + -6i Reorder the terms for easier multiplication: 7 + m + i(-10 + 4l) = 3 + -6i 7 + m + (-10 * i + 4l * i) = 3 + -6i 7 + m + (-10i + 4il) = 3 + -6i Reorder the terms: 7 + -10i + 4il + m = 3 + -6i Solving 7 + -10i + 4il + m = 3 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 7 + -10i + 4il + 6i + m = 3 + -6i + 6i Reorder the terms: 7 + -10i + 6i + 4il + m = 3 + -6i + 6i Combine like terms: -10i + 6i = -4i 7 + -4i + 4il + m = 3 + -6i + 6i Combine like terms: -6i + 6i = 0 7 + -4i + 4il + m = 3 + 0 7 + -4i + 4il + m = 3 Add '-7' to each side of the equation. 7 + -4i + 4il + -7 + m = 3 + -7 Reorder the terms: 7 + -7 + -4i + 4il + m = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -4i + 4il + m = 3 + -7 -4i + 4il + m = 3 + -7 Combine like terms: 3 + -7 = -4 -4i + 4il + m = -4 Add '-1m' to each side of the equation. -4i + 4il + m + -1m = -4 + -1m Combine like terms: m + -1m = 0 -4i + 4il + 0 = -4 + -1m -4i + 4il = -4 + -1m Reorder the terms: 4 + -4i + 4il + m = -4 + -1m + 4 + m Reorder the terms: 4 + -4i + 4il + m = -4 + 4 + -1m + m Combine like terms: -4 + 4 = 0 4 + -4i + 4il + m = 0 + -1m + m 4 + -4i + 4il + m = -1m + m Combine like terms: -1m + m = 0 4 + -4i + 4il + m = 0 The solution to this equation could not be determined.
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