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Simplifying 23 = (567 + -234k)(8 + 34) Combine like terms: 8 + 34 = 42 23 = (567 + -234k)(42) Reorder the terms for easier multiplication: 23 = 42(567 + -234k) 23 = (567 * 42 + -234k * 42) 23 = (23814 + -9828k) Solving 23 = 23814 + -9828k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9828k' to each side of the equation. 23 + 9828k = 23814 + -9828k + 9828k Combine like terms: -9828k + 9828k = 0 23 + 9828k = 23814 + 0 23 + 9828k = 23814 Add '-23' to each side of the equation. 23 + -23 + 9828k = 23814 + -23 Combine like terms: 23 + -23 = 0 0 + 9828k = 23814 + -23 9828k = 23814 + -23 Combine like terms: 23814 + -23 = 23791 9828k = 23791 Divide each side by '9828'. k = 2.420736671 Simplifying k = 2.420736671
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