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Simplifying 2.5(5k + 35) + -8 = 12 Reorder the terms: 2.5(35 + 5k) + -8 = 12 (35 * 2.5 + 5k * 2.5) + -8 = 12 (87.5 + 12.5k) + -8 = 12 Reorder the terms: 87.5 + -8 + 12.5k = 12 Combine like terms: 87.5 + -8 = 79.5 79.5 + 12.5k = 12 Solving 79.5 + 12.5k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-79.5' to each side of the equation. 79.5 + -79.5 + 12.5k = 12 + -79.5 Combine like terms: 79.5 + -79.5 = 0.0 0.0 + 12.5k = 12 + -79.5 12.5k = 12 + -79.5 Combine like terms: 12 + -79.5 = -67.5 12.5k = -67.5 Divide each side by '12.5'. k = -5.4 Simplifying k = -5.4
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