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