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Simplifying -2(k + -2) + -2 = 8k + -38 Reorder the terms: -2(-2 + k) + -2 = 8k + -38 (-2 * -2 + k * -2) + -2 = 8k + -38 (4 + -2k) + -2 = 8k + -38 Reorder the terms: 4 + -2 + -2k = 8k + -38 Combine like terms: 4 + -2 = 2 2 + -2k = 8k + -38 Reorder the terms: 2 + -2k = -38 + 8k Solving 2 + -2k = -38 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 2 + -2k + -8k = -38 + 8k + -8k Combine like terms: -2k + -8k = -10k 2 + -10k = -38 + 8k + -8k Combine like terms: 8k + -8k = 0 2 + -10k = -38 + 0 2 + -10k = -38 Add '-2' to each side of the equation. 2 + -2 + -10k = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -10k = -38 + -2 -10k = -38 + -2 Combine like terms: -38 + -2 = -40 -10k = -40 Divide each side by '-10'. k = 4 Simplifying k = 4
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