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Simplifying 23 = 8k + -33 Reorder the terms: 23 = -33 + 8k Solving 23 = -33 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 23 + -8k = -33 + 8k + -8k Combine like terms: 8k + -8k = 0 23 + -8k = -33 + 0 23 + -8k = -33 Add '-23' to each side of the equation. 23 + -23 + -8k = -33 + -23 Combine like terms: 23 + -23 = 0 0 + -8k = -33 + -23 -8k = -33 + -23 Combine like terms: -33 + -23 = -56 -8k = -56 Divide each side by '-8'. k = 7 Simplifying k = 7
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