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Simplifying -2k + 6(k + 2) = k + 33 Reorder the terms: -2k + 6(2 + k) = k + 33 -2k + (2 * 6 + k * 6) = k + 33 -2k + (12 + 6k) = k + 33 Reorder the terms: 12 + -2k + 6k = k + 33 Combine like terms: -2k + 6k = 4k 12 + 4k = k + 33 Reorder the terms: 12 + 4k = 33 + k Solving 12 + 4k = 33 + 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. 12 + 4k + -1k = 33 + k + -1k Combine like terms: 4k + -1k = 3k 12 + 3k = 33 + k + -1k Combine like terms: k + -1k = 0 12 + 3k = 33 + 0 12 + 3k = 33 Add '-12' to each side of the equation. 12 + -12 + 3k = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 33 + -12 3k = 33 + -12 Combine like terms: 33 + -12 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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