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Simplifying 5k + -2.3 + 4.9 + 1.7 + -4 = 0 Reorder the terms: -2.3 + 4.9 + 1.7 + -4 + 5k = 0 Combine like terms: -2.3 + 4.9 = 2.6 2.6 + 1.7 + -4 + 5k = 0 Combine like terms: 2.6 + 1.7 = 4.3 4.3 + -4 + 5k = 0 Combine like terms: 4.3 + -4 = 0.3 0.3 + 5k = 0 Solving 0.3 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 5k = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 5k = 0 + -0.3 5k = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 5k = -0.3 Divide each side by '5'. k = -0.06 Simplifying k = -0.06
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