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Simplifying 6(2 + 6k) + -8 = -176 (2 * 6 + 6k * 6) + -8 = -176 (12 + 36k) + -8 = -176 Reorder the terms: 12 + -8 + 36k = -176 Combine like terms: 12 + -8 = 4 4 + 36k = -176 Solving 4 + 36k = -176 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 36k = -176 + -4 Combine like terms: 4 + -4 = 0 0 + 36k = -176 + -4 36k = -176 + -4 Combine like terms: -176 + -4 = -180 36k = -180 Divide each side by '36'. k = -5 Simplifying k = -5
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