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Simplifying 4(5 + 6k) = 4k + 34 (5 * 4 + 6k * 4) = 4k + 34 (20 + 24k) = 4k + 34 Reorder the terms: 20 + 24k = 34 + 4k Solving 20 + 24k = 34 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 20 + 24k + -4k = 34 + 4k + -4k Combine like terms: 24k + -4k = 20k 20 + 20k = 34 + 4k + -4k Combine like terms: 4k + -4k = 0 20 + 20k = 34 + 0 20 + 20k = 34 Add '-20' to each side of the equation. 20 + -20 + 20k = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 20k = 34 + -20 20k = 34 + -20 Combine like terms: 34 + -20 = 14 20k = 14 Divide each side by '20'. k = 0.7 Simplifying k = 0.7
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