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Simplifying 28k + 24(7 + -1k) = 0 28k + (7 * 24 + -1k * 24) = 0 28k + (168 + -24k) = 0 Reorder the terms: 168 + 28k + -24k = 0 Combine like terms: 28k + -24k = 4k 168 + 4k = 0 Solving 168 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-168' to each side of the equation. 168 + -168 + 4k = 0 + -168 Combine like terms: 168 + -168 = 0 0 + 4k = 0 + -168 4k = 0 + -168 Combine like terms: 0 + -168 = -168 4k = -168 Divide each side by '4'. k = -42 Simplifying k = -42
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