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Simplifying -5k + 2.7 + 2.4k + 2.1k + -5 = 0 Reorder the terms: 2.7 + -5 + -5k + 2.4k + 2.1k = 0 Combine like terms: 2.7 + -5 = -2.3 -2.3 + -5k + 2.4k + 2.1k = 0 Combine like terms: -5k + 2.4k = -2.6k -2.3 + -2.6k + 2.1k = 0 Combine like terms: -2.6k + 2.1k = -0.5k -2.3 + -0.5k = 0 Solving -2.3 + -0.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + -0.5k = 0 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + -0.5k = 0 + 2.3 -0.5k = 0 + 2.3 Combine like terms: 0 + 2.3 = 2.3 -0.5k = 2.3 Divide each side by '-0.5'. k = -4.6 Simplifying k = -4.6
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