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Simplifying 2[k + 5] = 3k Reorder the terms: 2[5 + k] = 3k [5 * 2 + k * 2] = 3k [10 + 2k] = 3k Solving 10 + 2k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 10 + 2k + -3k = 3k + -3k Combine like terms: 2k + -3k = -1k 10 + -1k = 3k + -3k Combine like terms: 3k + -3k = 0 10 + -1k = 0 Add '-10' to each side of the equation. 10 + -10 + -1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 0 + -10 -1k = 0 + -10 Combine like terms: 0 + -10 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10
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