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Simplifying 7(k + -3) + -1(4 + -3k) = 9k Reorder the terms: 7(-3 + k) + -1(4 + -3k) = 9k (-3 * 7 + k * 7) + -1(4 + -3k) = 9k (-21 + 7k) + -1(4 + -3k) = 9k -21 + 7k + (4 * -1 + -3k * -1) = 9k -21 + 7k + (-4 + 3k) = 9k Reorder the terms: -21 + -4 + 7k + 3k = 9k Combine like terms: -21 + -4 = -25 -25 + 7k + 3k = 9k Combine like terms: 7k + 3k = 10k -25 + 10k = 9k Solving -25 + 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. -25 + 10k + -9k = 9k + -9k Combine like terms: 10k + -9k = 1k -25 + 1k = 9k + -9k Combine like terms: 9k + -9k = 0 -25 + 1k = 0 Add '25' to each side of the equation. -25 + 25 + 1k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1k = 0 + 25 1k = 0 + 25 Combine like terms: 0 + 25 = 25 1k = 25 Divide each side by '1'. k = 25 Simplifying k = 25
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