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Simplifying 7(4 + k) = -3(k + 2) + -7K (4 * 7 + k * 7) = -3(k + 2) + -7K (28 + 7k) = -3(k + 2) + -7K Reorder the terms: 28 + 7k = -3(2 + k) + -7K 28 + 7k = (2 * -3 + k * -3) + -7K 28 + 7k = (-6 + -3k) + -7K Reorder the terms: 28 + 7k = -6 + -7K + -3k Solving 28 + 7k = -6 + -7K + -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. 28 + 7k + 3k = -6 + -7K + -3k + 3k Combine like terms: 7k + 3k = 10k 28 + 10k = -6 + -7K + -3k + 3k Combine like terms: -3k + 3k = 0 28 + 10k = -6 + -7K + 0 28 + 10k = -6 + -7K Add '-28' to each side of the equation. 28 + -28 + 10k = -6 + -28 + -7K Combine like terms: 28 + -28 = 0 0 + 10k = -6 + -28 + -7K 10k = -6 + -28 + -7K Combine like terms: -6 + -28 = -34 10k = -34 + -7K Divide each side by '10'. k = -3.4 + -0.7K Simplifying k = -3.4 + -0.7K
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