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Simplifying 8i + -11k + -10i + 8k = 0 Reorder the terms: 8i + -10i + -11k + 8k = 0 Combine like terms: 8i + -10i = -2i -2i + -11k + 8k = 0 Combine like terms: -11k + 8k = -3k -2i + -3k = 0 Solving -2i + -3k = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3k' to each side of the equation. -2i + -3k + 3k = 0 + 3k Combine like terms: -3k + 3k = 0 -2i + 0 = 0 + 3k -2i = 0 + 3k Remove the zero: -2i = 3k Divide each side by '-2'. i = -1.5k Simplifying i = -1.5k
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