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Simplifying 3k + -10 = 10 + -4k + 8 Reorder the terms: -10 + 3k = 10 + -4k + 8 Reorder the terms: -10 + 3k = 10 + 8 + -4k Combine like terms: 10 + 8 = 18 -10 + 3k = 18 + -4k Solving -10 + 3k = 18 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -10 + 3k + 4k = 18 + -4k + 4k Combine like terms: 3k + 4k = 7k -10 + 7k = 18 + -4k + 4k Combine like terms: -4k + 4k = 0 -10 + 7k = 18 + 0 -10 + 7k = 18 Add '10' to each side of the equation. -10 + 10 + 7k = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 7k = 18 + 10 7k = 18 + 10 Combine like terms: 18 + 10 = 28 7k = 28 Divide each side by '7'. k = 4 Simplifying k = 4
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