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Simplifying 7(k + -8) + -1(6 + -3k) = 9k Reorder the terms: 7(-8 + k) + -1(6 + -3k) = 9k (-8 * 7 + k * 7) + -1(6 + -3k) = 9k (-56 + 7k) + -1(6 + -3k) = 9k -56 + 7k + (6 * -1 + -3k * -1) = 9k -56 + 7k + (-6 + 3k) = 9k Reorder the terms: -56 + -6 + 7k + 3k = 9k Combine like terms: -56 + -6 = -62 -62 + 7k + 3k = 9k Combine like terms: 7k + 3k = 10k -62 + 10k = 9k Solving -62 + 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. -62 + 10k + -9k = 9k + -9k Combine like terms: 10k + -9k = 1k -62 + 1k = 9k + -9k Combine like terms: 9k + -9k = 0 -62 + 1k = 0 Add '62' to each side of the equation. -62 + 62 + 1k = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 1k = 0 + 62 1k = 0 + 62 Combine like terms: 0 + 62 = 62 1k = 62 Divide each side by '1'. k = 62 Simplifying k = 62
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