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Simplifying 8(1 + 3k) = 8 + 4k (1 * 8 + 3k * 8) = 8 + 4k (8 + 24k) = 8 + 4k Add '-8' to each side of the equation. 8 + -8 + 24k = 8 + -8 + 4k Combine like terms: 8 + -8 = 0 0 + 24k = 8 + -8 + 4k 24k = 8 + -8 + 4k Combine like terms: 8 + -8 = 0 24k = 0 + 4k 24k = 4k Solving 24k = 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. 24k + -4k = 4k + -4k Combine like terms: 24k + -4k = 20k 20k = 4k + -4k Combine like terms: 4k + -4k = 0 20k = 0 Divide each side by '20'. k = 0.0 Simplifying k = 0.0
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