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Simplifying 2k + -30 = k + 15 + 5 + 2 Reorder the terms: -30 + 2k = k + 15 + 5 + 2 Reorder the terms: -30 + 2k = 15 + 5 + 2 + k Combine like terms: 15 + 5 = 20 -30 + 2k = 20 + 2 + k Combine like terms: 20 + 2 = 22 -30 + 2k = 22 + k Solving -30 + 2k = 22 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -30 + 2k + -1k = 22 + k + -1k Combine like terms: 2k + -1k = 1k -30 + 1k = 22 + k + -1k Combine like terms: k + -1k = 0 -30 + 1k = 22 + 0 -30 + 1k = 22 Add '30' to each side of the equation. -30 + 30 + 1k = 22 + 30 Combine like terms: -30 + 30 = 0 0 + 1k = 22 + 30 1k = 22 + 30 Combine like terms: 22 + 30 = 52 1k = 52 Divide each side by '1'. k = 52 Simplifying k = 52
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