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Simplifying 7(k + -3) + -1(6k + 7) = -9 Reorder the terms: 7(-3 + k) + -1(6k + 7) = -9 (-3 * 7 + k * 7) + -1(6k + 7) = -9 (-21 + 7k) + -1(6k + 7) = -9 Reorder the terms: -21 + 7k + -1(7 + 6k) = -9 -21 + 7k + (7 * -1 + 6k * -1) = -9 -21 + 7k + (-7 + -6k) = -9 Reorder the terms: -21 + -7 + 7k + -6k = -9 Combine like terms: -21 + -7 = -28 -28 + 7k + -6k = -9 Combine like terms: 7k + -6k = 1k -28 + 1k = -9 Solving -28 + 1k = -9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1k = -9 + 28 Combine like terms: -28 + 28 = 0 0 + 1k = -9 + 28 1k = -9 + 28 Combine like terms: -9 + 28 = 19 1k = 19 Divide each side by '1'. k = 19 Simplifying k = 19
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