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Simplifying 6.78j + -5.2 = 12.6k + 14.5 Reorder the terms: -5.2 + 6.78j = 12.6k + 14.5 Reorder the terms: -5.2 + 6.78j = 14.5 + 12.6k Solving -5.2 + 6.78j = 14.5 + 12.6k Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5.2' to each side of the equation. -5.2 + 5.2 + 6.78j = 14.5 + 5.2 + 12.6k Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 6.78j = 14.5 + 5.2 + 12.6k 6.78j = 14.5 + 5.2 + 12.6k Combine like terms: 14.5 + 5.2 = 19.7 6.78j = 19.7 + 12.6k Divide each side by '6.78'. j = 2.90560472 + 1.85840708k Simplifying j = 2.90560472 + 1.85840708k
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