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Simplifying 4k + -2(-4k + 9) = 0 Reorder the terms: 4k + -2(9 + -4k) = 0 4k + (9 * -2 + -4k * -2) = 0 4k + (-18 + 8k) = 0 Reorder the terms: -18 + 4k + 8k = 0 Combine like terms: 4k + 8k = 12k -18 + 12k = 0 Solving -18 + 12k = 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 + 12k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12k = 0 + 18 12k = 0 + 18 Combine like terms: 0 + 18 = 18 12k = 18 Divide each side by '12'. k = 1.5 Simplifying k = 1.5
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