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Simplifying 3(3k + -3) + -7(k + -6) = 41 Reorder the terms: 3(-3 + 3k) + -7(k + -6) = 41 (-3 * 3 + 3k * 3) + -7(k + -6) = 41 (-9 + 9k) + -7(k + -6) = 41 Reorder the terms: -9 + 9k + -7(-6 + k) = 41 -9 + 9k + (-6 * -7 + k * -7) = 41 -9 + 9k + (42 + -7k) = 41 Reorder the terms: -9 + 42 + 9k + -7k = 41 Combine like terms: -9 + 42 = 33 33 + 9k + -7k = 41 Combine like terms: 9k + -7k = 2k 33 + 2k = 41 Solving 33 + 2k = 41 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 2k = 41 + -33 Combine like terms: 33 + -33 = 0 0 + 2k = 41 + -33 2k = 41 + -33 Combine like terms: 41 + -33 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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