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Simplifying 8k + 4k + -3(5k + 6) = 0 Reorder the terms: 8k + 4k + -3(6 + 5k) = 0 8k + 4k + (6 * -3 + 5k * -3) = 0 8k + 4k + (-18 + -15k) = 0 Reorder the terms: -18 + 8k + 4k + -15k = 0 Combine like terms: 8k + 4k = 12k -18 + 12k + -15k = 0 Combine like terms: 12k + -15k = -3k -18 + -3k = 0 Solving -18 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -3k = 0 + 18 -3k = 0 + 18 Combine like terms: 0 + 18 = 18 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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