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Simplifying 18 = 6(4k + 5) Reorder the terms: 18 = 6(5 + 4k) 18 = (5 * 6 + 4k * 6) 18 = (30 + 24k) Solving 18 = 30 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 18 + -24k = 30 + 24k + -24k Combine like terms: 24k + -24k = 0 18 + -24k = 30 + 0 18 + -24k = 30 Add '-18' to each side of the equation. 18 + -18 + -24k = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -24k = 30 + -18 -24k = 30 + -18 Combine like terms: 30 + -18 = 12 -24k = 12 Divide each side by '-24'. k = -0.5 Simplifying k = -0.5
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