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Simplifying 6i + -3u = 9u + 3i Reorder the terms: 6i + -3u = 3i + 9u Solving 6i + -3u = 3i + 9u Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 6i + -3i + -3u = 3i + -3i + 9u Combine like terms: 6i + -3i = 3i 3i + -3u = 3i + -3i + 9u Combine like terms: 3i + -3i = 0 3i + -3u = 0 + 9u 3i + -3u = 9u Add '3u' to each side of the equation. 3i + -3u + 3u = 9u + 3u Combine like terms: -3u + 3u = 0 3i + 0 = 9u + 3u 3i = 9u + 3u Combine like terms: 9u + 3u = 12u 3i = 12u Divide each side by '3'. i = 4u Simplifying i = 4u
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