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Simplifying 5k + 4.9 + -1.2K + -1.5K + 2 = 0 Reorder the terms: 4.9 + 2 + -1.2K + -1.5K + 5k = 0 Combine like terms: 4.9 + 2 = 6.9 6.9 + -1.2K + -1.5K + 5k = 0 Combine like terms: -1.2K + -1.5K = -2.7K 6.9 + -2.7K + 5k = 0 Solving 6.9 + -2.7K + 5k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-6.9' to each side of the equation. 6.9 + -2.7K + -6.9 + 5k = 0 + -6.9 Reorder the terms: 6.9 + -6.9 + -2.7K + 5k = 0 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + -2.7K + 5k = 0 + -6.9 -2.7K + 5k = 0 + -6.9 Combine like terms: 0 + -6.9 = -6.9 -2.7K + 5k = -6.9 Add '-5k' to each side of the equation. -2.7K + 5k + -5k = -6.9 + -5k Combine like terms: 5k + -5k = 0 -2.7K + 0 = -6.9 + -5k -2.7K = -6.9 + -5k Divide each side by '-2.7'. K = 2.555555556 + 1.851851852k Simplifying K = 2.555555556 + 1.851851852k
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