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Simplifying 4(5j + 3k2) + -18j + -13k2 + -1(-1k2 + j) = 0 (5j * 4 + 3k2 * 4) + -18j + -13k2 + -1(-1k2 + j) = 0 (20j + 12k2) + -18j + -13k2 + -1(-1k2 + j) = 0 Reorder the terms: 20j + 12k2 + -18j + -13k2 + -1(j + -1k2) = 0 20j + 12k2 + -18j + -13k2 + (j * -1 + -1k2 * -1) = 0 20j + 12k2 + -18j + -13k2 + (-1j + 1k2) = 0 Reorder the terms: 20j + -18j + -1j + 12k2 + -13k2 + 1k2 = 0 Combine like terms: 20j + -18j = 2j 2j + -1j + 12k2 + -13k2 + 1k2 = 0 Combine like terms: 2j + -1j = 1j 1j + 12k2 + -13k2 + 1k2 = 0 Combine like terms: 12k2 + -13k2 = -1k2 1j + -1k2 + 1k2 = 0 Combine like terms: -1k2 + 1k2 = 0 1j + 0 = 0 1j = 0 Solving 1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Divide each side by '1'. j = 0 Simplifying j = 0
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