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Simplifying 23 + 4k = 7(5k + -3) Reorder the terms: 23 + 4k = 7(-3 + 5k) 23 + 4k = (-3 * 7 + 5k * 7) 23 + 4k = (-21 + 35k) Solving 23 + 4k = -21 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 23 + 4k + -35k = -21 + 35k + -35k Combine like terms: 4k + -35k = -31k 23 + -31k = -21 + 35k + -35k Combine like terms: 35k + -35k = 0 23 + -31k = -21 + 0 23 + -31k = -21 Add '-23' to each side of the equation. 23 + -23 + -31k = -21 + -23 Combine like terms: 23 + -23 = 0 0 + -31k = -21 + -23 -31k = -21 + -23 Combine like terms: -21 + -23 = -44 -31k = -44 Divide each side by '-31'. k = 1.419354839 Simplifying k = 1.419354839
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