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Simplifying -7k + 4(6k + 2) = 34 + 4k Reorder the terms: -7k + 4(2 + 6k) = 34 + 4k -7k + (2 * 4 + 6k * 4) = 34 + 4k -7k + (8 + 24k) = 34 + 4k Reorder the terms: 8 + -7k + 24k = 34 + 4k Combine like terms: -7k + 24k = 17k 8 + 17k = 34 + 4k Solving 8 + 17k = 34 + 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. 8 + 17k + -4k = 34 + 4k + -4k Combine like terms: 17k + -4k = 13k 8 + 13k = 34 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + 13k = 34 + 0 8 + 13k = 34 Add '-8' to each side of the equation. 8 + -8 + 13k = 34 + -8 Combine like terms: 8 + -8 = 0 0 + 13k = 34 + -8 13k = 34 + -8 Combine like terms: 34 + -8 = 26 13k = 26 Divide each side by '13'. k = 2 Simplifying k = 2
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