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Simplifying 0.5(8k + 2) = -36 Reorder the terms: 0.5(2 + 8k) = -36 (2 * 0.5 + 8k * 0.5) = -36 (1 + 4k) = -36 Solving 1 + 4k = -36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4k = -36 + -1 Combine like terms: 1 + -1 = 0 0 + 4k = -36 + -1 4k = -36 + -1 Combine like terms: -36 + -1 = -37 4k = -37 Divide each side by '4'. k = -9.25 Simplifying k = -9.25
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