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Simplifying 49k + 105 = 1323 + -21k Reorder the terms: 105 + 49k = 1323 + -21k Solving 105 + 49k = 1323 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 105 + 49k + 21k = 1323 + -21k + 21k Combine like terms: 49k + 21k = 70k 105 + 70k = 1323 + -21k + 21k Combine like terms: -21k + 21k = 0 105 + 70k = 1323 + 0 105 + 70k = 1323 Add '-105' to each side of the equation. 105 + -105 + 70k = 1323 + -105 Combine like terms: 105 + -105 = 0 0 + 70k = 1323 + -105 70k = 1323 + -105 Combine like terms: 1323 + -105 = 1218 70k = 1218 Divide each side by '70'. k = 17.4 Simplifying k = 17.4
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