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Simplifying 4(6k + 8j + 9) = 0 Reorder the terms: 4(9 + 8j + 6k) = 0 (9 * 4 + 8j * 4 + 6k * 4) = 0 (36 + 32j + 24k) = 0 Solving 36 + 32j + 24k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 32j + -36 + 24k = 0 + -36 Reorder the terms: 36 + -36 + 32j + 24k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 32j + 24k = 0 + -36 32j + 24k = 0 + -36 Combine like terms: 0 + -36 = -36 32j + 24k = -36 Add '-24k' to each side of the equation. 32j + 24k + -24k = -36 + -24k Combine like terms: 24k + -24k = 0 32j + 0 = -36 + -24k 32j = -36 + -24k Divide each side by '32'. j = -1.125 + -0.75k Simplifying j = -1.125 + -0.75k
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