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Simplifying -6k + -2.1 + 0.5k + -3.9k + 1 = 0 Reorder the terms: -2.1 + 1 + -6k + 0.5k + -3.9k = 0 Combine like terms: -2.1 + 1 = -1.1 -1.1 + -6k + 0.5k + -3.9k = 0 Combine like terms: -6k + 0.5k = -5.5k -1.1 + -5.5k + -3.9k = 0 Combine like terms: -5.5k + -3.9k = -9.4k -1.1 + -9.4k = 0 Solving -1.1 + -9.4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.1' to each side of the equation. -1.1 + 1.1 + -9.4k = 0 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -9.4k = 0 + 1.1 -9.4k = 0 + 1.1 Combine like terms: 0 + 1.1 = 1.1 -9.4k = 1.1 Divide each side by '-9.4'. k = -0.1170212766 Simplifying k = -0.1170212766
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