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Simplifying 3(k + 2) + -7k + 8 + 5 = 0 Reorder the terms: 3(2 + k) + -7k + 8 + 5 = 0 (2 * 3 + k * 3) + -7k + 8 + 5 = 0 (6 + 3k) + -7k + 8 + 5 = 0 Reorder the terms: 6 + 8 + 5 + 3k + -7k = 0 Combine like terms: 6 + 8 = 14 14 + 5 + 3k + -7k = 0 Combine like terms: 14 + 5 = 19 19 + 3k + -7k = 0 Combine like terms: 3k + -7k = -4k 19 + -4k = 0 Solving 19 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4k = 0 + -19 -4k = 0 + -19 Combine like terms: 0 + -19 = -19 -4k = -19 Divide each side by '-4'. k = 4.75 Simplifying k = 4.75
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