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Simplifying 3k + -4 = 7k + 10 Reorder the terms: -4 + 3k = 7k + 10 Reorder the terms: -4 + 3k = 10 + 7k Solving -4 + 3k = 10 + 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. -4 + 3k + -7k = 10 + 7k + -7k Combine like terms: 3k + -7k = -4k -4 + -4k = 10 + 7k + -7k Combine like terms: 7k + -7k = 0 -4 + -4k = 10 + 0 -4 + -4k = 10 Add '4' to each side of the equation. -4 + 4 + -4k = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -4k = 10 + 4 -4k = 10 + 4 Combine like terms: 10 + 4 = 14 -4k = 14 Divide each side by '-4'. k = -3.5 Simplifying k = -3.5
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