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Simplifying 5k + -3.5 + 1.4k + -2.2k + 1 = 0 Reorder the terms: -3.5 + 1 + 5k + 1.4k + -2.2k = 0 Combine like terms: -3.5 + 1 = -2.5 -2.5 + 5k + 1.4k + -2.2k = 0 Combine like terms: 5k + 1.4k = 6.4k -2.5 + 6.4k + -2.2k = 0 Combine like terms: 6.4k + -2.2k = 4.2k -2.5 + 4.2k = 0 Solving -2.5 + 4.2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 4.2k = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 4.2k = 0 + 2.5 4.2k = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 4.2k = 2.5 Divide each side by '4.2'. k = 0.5952380952 Simplifying k = 0.5952380952
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