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Simplifying 9(k + -4) + 2k = 2(k + -1) + 7k Reorder the terms: 9(-4 + k) + 2k = 2(k + -1) + 7k (-4 * 9 + k * 9) + 2k = 2(k + -1) + 7k (-36 + 9k) + 2k = 2(k + -1) + 7k Combine like terms: 9k + 2k = 11k -36 + 11k = 2(k + -1) + 7k Reorder the terms: -36 + 11k = 2(-1 + k) + 7k -36 + 11k = (-1 * 2 + k * 2) + 7k -36 + 11k = (-2 + 2k) + 7k Combine like terms: 2k + 7k = 9k -36 + 11k = -2 + 9k Solving -36 + 11k = -2 + 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. -36 + 11k + -9k = -2 + 9k + -9k Combine like terms: 11k + -9k = 2k -36 + 2k = -2 + 9k + -9k Combine like terms: 9k + -9k = 0 -36 + 2k = -2 + 0 -36 + 2k = -2 Add '36' to each side of the equation. -36 + 36 + 2k = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 2k = -2 + 36 2k = -2 + 36 Combine like terms: -2 + 36 = 34 2k = 34 Divide each side by '2'. k = 17 Simplifying k = 17
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