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Simplifying -1j + 5(k + j) = 0 Reorder the terms: -1j + 5(j + k) = 0 -1j + (j * 5 + k * 5) = 0 -1j + (5j + 5k) = 0 Combine like terms: -1j + 5j = 4j 4j + 5k = 0 Solving 4j + 5k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5k' to each side of the equation. 4j + 5k + -5k = 0 + -5k Combine like terms: 5k + -5k = 0 4j + 0 = 0 + -5k 4j = 0 + -5k Remove the zero: 4j = -5k Divide each side by '4'. j = -1.25k Simplifying j = -1.25k
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