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Simplifying -5k + 2(k + 2) = 3k + -38 Reorder the terms: -5k + 2(2 + k) = 3k + -38 -5k + (2 * 2 + k * 2) = 3k + -38 -5k + (4 + 2k) = 3k + -38 Reorder the terms: 4 + -5k + 2k = 3k + -38 Combine like terms: -5k + 2k = -3k 4 + -3k = 3k + -38 Reorder the terms: 4 + -3k = -38 + 3k Solving 4 + -3k = -38 + 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. 4 + -3k + -3k = -38 + 3k + -3k Combine like terms: -3k + -3k = -6k 4 + -6k = -38 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + -6k = -38 + 0 4 + -6k = -38 Add '-4' to each side of the equation. 4 + -4 + -6k = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -6k = -38 + -4 -6k = -38 + -4 Combine like terms: -38 + -4 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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