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Simplifying 0.6k + -0.1 = 0.5k + 1 Reorder the terms: -0.1 + 0.6k = 0.5k + 1 Reorder the terms: -0.1 + 0.6k = 1 + 0.5k Solving -0.1 + 0.6k = 1 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. -0.1 + 0.6k + -0.5k = 1 + 0.5k + -0.5k Combine like terms: 0.6k + -0.5k = 0.1k -0.1 + 0.1k = 1 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 -0.1 + 0.1k = 1 + 0.0 -0.1 + 0.1k = 1 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.1k = 1 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.1k = 1 + 0.1 0.1k = 1 + 0.1 Combine like terms: 1 + 0.1 = 1.1 0.1k = 1.1 Divide each side by '0.1'. k = 11 Simplifying k = 11
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