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Simplifying 7k + -4 = 3k + 14 Reorder the terms: -4 + 7k = 3k + 14 Reorder the terms: -4 + 7k = 14 + 3k Solving -4 + 7k = 14 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -4 + 7k + -3k = 14 + 3k + -3k Combine like terms: 7k + -3k = 4k -4 + 4k = 14 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + 4k = 14 + 0 -4 + 4k = 14 Add '4' to each side of the equation. -4 + 4 + 4k = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 4k = 14 + 4 4k = 14 + 4 Combine like terms: 14 + 4 = 18 4k = 18 Divide each side by '4'. k = 4.5 Simplifying k = 4.5
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