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Simplifying 8[k + 20] = 52 Reorder the terms: 8[20 + k] = 52 [20 * 8 + k * 8] = 52 [160 + 8k] = 52 Solving 160 + 8k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 8k = 52 + -160 Combine like terms: 160 + -160 = 0 0 + 8k = 52 + -160 8k = 52 + -160 Combine like terms: 52 + -160 = -108 8k = -108 Divide each side by '8'. k = -13.5 Simplifying k = -13.5
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