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Simplifying 100 + 4k = -4k + 44 Reorder the terms: 100 + 4k = 44 + -4k Solving 100 + 4k = 44 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 100 + 4k + 4k = 44 + -4k + 4k Combine like terms: 4k + 4k = 8k 100 + 8k = 44 + -4k + 4k Combine like terms: -4k + 4k = 0 100 + 8k = 44 + 0 100 + 8k = 44 Add '-100' to each side of the equation. 100 + -100 + 8k = 44 + -100 Combine like terms: 100 + -100 = 0 0 + 8k = 44 + -100 8k = 44 + -100 Combine like terms: 44 + -100 = -56 8k = -56 Divide each side by '8'. k = -7 Simplifying k = -7
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