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Simplifying 7(k + 1) + 2(k + -6) = 3 Reorder the terms: 7(1 + k) + 2(k + -6) = 3 (1 * 7 + k * 7) + 2(k + -6) = 3 (7 + 7k) + 2(k + -6) = 3 Reorder the terms: 7 + 7k + 2(-6 + k) = 3 7 + 7k + (-6 * 2 + k * 2) = 3 7 + 7k + (-12 + 2k) = 3 Reorder the terms: 7 + -12 + 7k + 2k = 3 Combine like terms: 7 + -12 = -5 -5 + 7k + 2k = 3 Combine like terms: 7k + 2k = 9k -5 + 9k = 3 Solving -5 + 9k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9k = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 9k = 3 + 5 9k = 3 + 5 Combine like terms: 3 + 5 = 8 9k = 8 Divide each side by '9'. k = 0.8888888889 Simplifying k = 0.8888888889
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