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Simplifying 4(1 + 6k) + -1k = -180 (1 * 4 + 6k * 4) + -1k = -180 (4 + 24k) + -1k = -180 Combine like terms: 24k + -1k = 23k 4 + 23k = -180 Solving 4 + 23k = -180 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 + 23k = -180 + -4 Combine like terms: 4 + -4 = 0 0 + 23k = -180 + -4 23k = -180 + -4 Combine like terms: -180 + -4 = -184 23k = -184 Divide each side by '23'. k = -8 Simplifying k = -8
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