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Simplifying 5(2.9 + k) = 8.9 (2.9 * 5 + k * 5) = 8.9 (14.5 + 5k) = 8.9 Solving 14.5 + 5k = 8.9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + 5k = 8.9 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 5k = 8.9 + -14.5 5k = 8.9 + -14.5 Combine like terms: 8.9 + -14.5 = -5.6 5k = -5.6 Divide each side by '5'. k = -1.12 Simplifying k = -1.12
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