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Simplifying -0.50(10k + -16) = 43 Reorder the terms: -0.50(-16 + 10k) = 43 (-16 * -0.50 + 10k * -0.50) = 43 (8 + -5k) = 43 Solving 8 + -5k = 43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5k = 43 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = 43 + -8 -5k = 43 + -8 Combine like terms: 43 + -8 = 35 -5k = 35 Divide each side by '-5'. k = -7 Simplifying k = -7
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