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Simplifying 2 + 3(k + 4) = 3 + -4(k + 4) Reorder the terms: 2 + 3(4 + k) = 3 + -4(k + 4) 2 + (4 * 3 + k * 3) = 3 + -4(k + 4) 2 + (12 + 3k) = 3 + -4(k + 4) Combine like terms: 2 + 12 = 14 14 + 3k = 3 + -4(k + 4) Reorder the terms: 14 + 3k = 3 + -4(4 + k) 14 + 3k = 3 + (4 * -4 + k * -4) 14 + 3k = 3 + (-16 + -4k) Combine like terms: 3 + -16 = -13 14 + 3k = -13 + -4k Solving 14 + 3k = -13 + -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. 14 + 3k + 4k = -13 + -4k + 4k Combine like terms: 3k + 4k = 7k 14 + 7k = -13 + -4k + 4k Combine like terms: -4k + 4k = 0 14 + 7k = -13 + 0 14 + 7k = -13 Add '-14' to each side of the equation. 14 + -14 + 7k = -13 + -14 Combine like terms: 14 + -14 = 0 0 + 7k = -13 + -14 7k = -13 + -14 Combine like terms: -13 + -14 = -27 7k = -27 Divide each side by '7'. k = -3.857142857 Simplifying k = -3.857142857
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