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Simplifying -7(k + 9) + -1(-9k + -9) = k Reorder the terms: -7(9 + k) + -1(-9k + -9) = k (9 * -7 + k * -7) + -1(-9k + -9) = k (-63 + -7k) + -1(-9k + -9) = k Reorder the terms: -63 + -7k + -1(-9 + -9k) = k -63 + -7k + (-9 * -1 + -9k * -1) = k -63 + -7k + (9 + 9k) = k Reorder the terms: -63 + 9 + -7k + 9k = k Combine like terms: -63 + 9 = -54 -54 + -7k + 9k = k Combine like terms: -7k + 9k = 2k -54 + 2k = k Solving -54 + 2k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -54 + 2k + -1k = k + -1k Combine like terms: 2k + -1k = 1k -54 + 1k = k + -1k Combine like terms: k + -1k = 0 -54 + 1k = 0 Add '54' to each side of the equation. -54 + 54 + 1k = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 1k = 0 + 54 1k = 0 + 54 Combine like terms: 0 + 54 = 54 1k = 54 Divide each side by '1'. k = 54 Simplifying k = 54
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