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Simplifying 8k + 56 = 47k + -100 Reorder the terms: 56 + 8k = 47k + -100 Reorder the terms: 56 + 8k = -100 + 47k Solving 56 + 8k = -100 + 47k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-47k' to each side of the equation. 56 + 8k + -47k = -100 + 47k + -47k Combine like terms: 8k + -47k = -39k 56 + -39k = -100 + 47k + -47k Combine like terms: 47k + -47k = 0 56 + -39k = -100 + 0 56 + -39k = -100 Add '-56' to each side of the equation. 56 + -56 + -39k = -100 + -56 Combine like terms: 56 + -56 = 0 0 + -39k = -100 + -56 -39k = -100 + -56 Combine like terms: -100 + -56 = -156 -39k = -156 Divide each side by '-39'. k = 4 Simplifying k = 4
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