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Simplifying (8j + -3k + 9) * 6 = 0 Reorder the terms: (9 + 8j + -3k) * 6 = 0 Reorder the terms for easier multiplication: 6(9 + 8j + -3k) = 0 (9 * 6 + 8j * 6 + -3k * 6) = 0 (54 + 48j + -18k) = 0 Solving 54 + 48j + -18k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 48j + -54 + -18k = 0 + -54 Reorder the terms: 54 + -54 + 48j + -18k = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 48j + -18k = 0 + -54 48j + -18k = 0 + -54 Combine like terms: 0 + -54 = -54 48j + -18k = -54 Add '18k' to each side of the equation. 48j + -18k + 18k = -54 + 18k Combine like terms: -18k + 18k = 0 48j + 0 = -54 + 18k 48j = -54 + 18k Divide each side by '48'. j = -1.125 + 0.375k Simplifying j = -1.125 + 0.375k
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