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Simplifying -29 + 3k = -4k + 27 Reorder the terms: -29 + 3k = 27 + -4k Solving -29 + 3k = 27 + -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. -29 + 3k + 4k = 27 + -4k + 4k Combine like terms: 3k + 4k = 7k -29 + 7k = 27 + -4k + 4k Combine like terms: -4k + 4k = 0 -29 + 7k = 27 + 0 -29 + 7k = 27 Add '29' to each side of the equation. -29 + 29 + 7k = 27 + 29 Combine like terms: -29 + 29 = 0 0 + 7k = 27 + 29 7k = 27 + 29 Combine like terms: 27 + 29 = 56 7k = 56 Divide each side by '7'. k = 8 Simplifying k = 8
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