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Simplifying 4k + -3(j + k + 8) + 2(3j + -8k) = 0 Reorder the terms: 4k + -3(8 + j + k) + 2(3j + -8k) = 0 4k + (8 * -3 + j * -3 + k * -3) + 2(3j + -8k) = 0 4k + (-24 + -3j + -3k) + 2(3j + -8k) = 0 4k + -24 + -3j + -3k + (3j * 2 + -8k * 2) = 0 4k + -24 + -3j + -3k + (6j + -16k) = 0 Reorder the terms: -24 + -3j + 6j + 4k + -3k + -16k = 0 Combine like terms: -3j + 6j = 3j -24 + 3j + 4k + -3k + -16k = 0 Combine like terms: 4k + -3k = 1k -24 + 3j + 1k + -16k = 0 Combine like terms: 1k + -16k = -15k -24 + 3j + -15k = 0 Solving -24 + 3j + -15k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 3j + 24 + -15k = 0 + 24 Reorder the terms: -24 + 24 + 3j + -15k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3j + -15k = 0 + 24 3j + -15k = 0 + 24 Combine like terms: 0 + 24 = 24 3j + -15k = 24 Add '15k' to each side of the equation. 3j + -15k + 15k = 24 + 15k Combine like terms: -15k + 15k = 0 3j + 0 = 24 + 15k 3j = 24 + 15k Divide each side by '3'. j = 8 + 5k Simplifying j = 8 + 5k
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