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Simplifying 2(k + 61) + 16 = -32 Reorder the terms: 2(61 + k) + 16 = -32 (61 * 2 + k * 2) + 16 = -32 (122 + 2k) + 16 = -32 Reorder the terms: 122 + 16 + 2k = -32 Combine like terms: 122 + 16 = 138 138 + 2k = -32 Solving 138 + 2k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + 2k = -32 + -138 Combine like terms: 138 + -138 = 0 0 + 2k = -32 + -138 2k = -32 + -138 Combine like terms: -32 + -138 = -170 2k = -170 Divide each side by '2'. k = -85 Simplifying k = -85
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