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Simplifying 4k + 23 = 5(k + 3) Reorder the terms: 23 + 4k = 5(k + 3) Reorder the terms: 23 + 4k = 5(3 + k) 23 + 4k = (3 * 5 + k * 5) 23 + 4k = (15 + 5k) Solving 23 + 4k = 15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 23 + 4k + -5k = 15 + 5k + -5k Combine like terms: 4k + -5k = -1k 23 + -1k = 15 + 5k + -5k Combine like terms: 5k + -5k = 0 23 + -1k = 15 + 0 23 + -1k = 15 Add '-23' to each side of the equation. 23 + -23 + -1k = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -1k = 15 + -23 -1k = 15 + -23 Combine like terms: 15 + -23 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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