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Simplifying 7(k + -7) + -1(-3k + -9) = 9k Reorder the terms: 7(-7 + k) + -1(-3k + -9) = 9k (-7 * 7 + k * 7) + -1(-3k + -9) = 9k (-49 + 7k) + -1(-3k + -9) = 9k Reorder the terms: -49 + 7k + -1(-9 + -3k) = 9k -49 + 7k + (-9 * -1 + -3k * -1) = 9k -49 + 7k + (9 + 3k) = 9k Reorder the terms: -49 + 9 + 7k + 3k = 9k Combine like terms: -49 + 9 = -40 -40 + 7k + 3k = 9k Combine like terms: 7k + 3k = 10k -40 + 10k = 9k Solving -40 + 10k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -40 + 10k + -9k = 9k + -9k Combine like terms: 10k + -9k = 1k -40 + 1k = 9k + -9k Combine like terms: 9k + -9k = 0 -40 + 1k = 0 Add '40' to each side of the equation. -40 + 40 + 1k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 1k = 0 + 40 1k = 0 + 40 Combine like terms: 0 + 40 = 40 1k = 40 Divide each side by '1'. k = 40 Simplifying k = 40
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