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Simplifying -7k + -73 = 9k + -45 + -14k Reorder the terms: -73 + -7k = 9k + -45 + -14k Reorder the terms: -73 + -7k = -45 + 9k + -14k Combine like terms: 9k + -14k = -5k -73 + -7k = -45 + -5k Solving -73 + -7k = -45 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -73 + -7k + 5k = -45 + -5k + 5k Combine like terms: -7k + 5k = -2k -73 + -2k = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 -73 + -2k = -45 + 0 -73 + -2k = -45 Add '73' to each side of the equation. -73 + 73 + -2k = -45 + 73 Combine like terms: -73 + 73 = 0 0 + -2k = -45 + 73 -2k = -45 + 73 Combine like terms: -45 + 73 = 28 -2k = 28 Divide each side by '-2'. k = -14 Simplifying k = -14
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