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Simplifying -5k + -5.8 + -2.4k + 0.6k + -1 = 0 Reorder the terms: -5.8 + -1 + -5k + -2.4k + 0.6k = 0 Combine like terms: -5.8 + -1 = -6.8 -6.8 + -5k + -2.4k + 0.6k = 0 Combine like terms: -5k + -2.4k = -7.4k -6.8 + -7.4k + 0.6k = 0 Combine like terms: -7.4k + 0.6k = -6.8k -6.8 + -6.8k = 0 Solving -6.8 + -6.8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6.8' to each side of the equation. -6.8 + 6.8 + -6.8k = 0 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + -6.8k = 0 + 6.8 -6.8k = 0 + 6.8 Combine like terms: 0 + 6.8 = 6.8 -6.8k = 6.8 Divide each side by '-6.8'. k = -1 Simplifying k = -1
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