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Simplifying -18 + -12 + 9k = 4k + 20 Combine like terms: -18 + -12 = -30 -30 + 9k = 4k + 20 Reorder the terms: -30 + 9k = 20 + 4k Solving -30 + 9k = 20 + 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. -30 + 9k + -4k = 20 + 4k + -4k Combine like terms: 9k + -4k = 5k -30 + 5k = 20 + 4k + -4k Combine like terms: 4k + -4k = 0 -30 + 5k = 20 + 0 -30 + 5k = 20 Add '30' to each side of the equation. -30 + 30 + 5k = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 5k = 20 + 30 5k = 20 + 30 Combine like terms: 20 + 30 = 50 5k = 50 Divide each side by '5'. k = 10 Simplifying k = 10
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