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Simplifying 6(k + -3) + -1(7k + -6) = 5 Reorder the terms: 6(-3 + k) + -1(7k + -6) = 5 (-3 * 6 + k * 6) + -1(7k + -6) = 5 (-18 + 6k) + -1(7k + -6) = 5 Reorder the terms: -18 + 6k + -1(-6 + 7k) = 5 -18 + 6k + (-6 * -1 + 7k * -1) = 5 -18 + 6k + (6 + -7k) = 5 Reorder the terms: -18 + 6 + 6k + -7k = 5 Combine like terms: -18 + 6 = -12 -12 + 6k + -7k = 5 Combine like terms: 6k + -7k = -1k -12 + -1k = 5 Solving -12 + -1k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1k = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1k = 5 + 12 -1k = 5 + 12 Combine like terms: 5 + 12 = 17 -1k = 17 Divide each side by '-1'. k = -17 Simplifying k = -17
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