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Simplifying -1k + 23 = 3(1 + 8k) + -5k Reorder the terms: 23 + -1k = 3(1 + 8k) + -5k 23 + -1k = (1 * 3 + 8k * 3) + -5k 23 + -1k = (3 + 24k) + -5k Combine like terms: 24k + -5k = 19k 23 + -1k = 3 + 19k Solving 23 + -1k = 3 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 23 + -1k + -19k = 3 + 19k + -19k Combine like terms: -1k + -19k = -20k 23 + -20k = 3 + 19k + -19k Combine like terms: 19k + -19k = 0 23 + -20k = 3 + 0 23 + -20k = 3 Add '-23' to each side of the equation. 23 + -23 + -20k = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -20k = 3 + -23 -20k = 3 + -23 Combine like terms: 3 + -23 = -20 -20k = -20 Divide each side by '-20'. k = 1 Simplifying k = 1
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