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Simplifying 11k + -11 = 7k + -0.42 Reorder the terms: -11 + 11k = 7k + -0.42 Reorder the terms: -11 + 11k = -0.42 + 7k Solving -11 + 11k = -0.42 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -11 + 11k + -7k = -0.42 + 7k + -7k Combine like terms: 11k + -7k = 4k -11 + 4k = -0.42 + 7k + -7k Combine like terms: 7k + -7k = 0 -11 + 4k = -0.42 + 0 -11 + 4k = -0.42 Add '11' to each side of the equation. -11 + 11 + 4k = -0.42 + 11 Combine like terms: -11 + 11 = 0 0 + 4k = -0.42 + 11 4k = -0.42 + 11 Combine like terms: -0.42 + 11 = 10.58 4k = 10.58 Divide each side by '4'. k = 2.645 Simplifying k = 2.645
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