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Simplifying -7(k + 7) = 9(k + -5) + -14k Reorder the terms: -7(7 + k) = 9(k + -5) + -14k (7 * -7 + k * -7) = 9(k + -5) + -14k (-49 + -7k) = 9(k + -5) + -14k Reorder the terms: -49 + -7k = 9(-5 + k) + -14k -49 + -7k = (-5 * 9 + k * 9) + -14k -49 + -7k = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -49 + -7k = -45 + -5k Solving -49 + -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. -49 + -7k + 5k = -45 + -5k + 5k Combine like terms: -7k + 5k = -2k -49 + -2k = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 -49 + -2k = -45 + 0 -49 + -2k = -45 Add '49' to each side of the equation. -49 + 49 + -2k = -45 + 49 Combine like terms: -49 + 49 = 0 0 + -2k = -45 + 49 -2k = -45 + 49 Combine like terms: -45 + 49 = 4 -2k = 4 Divide each side by '-2'. k = -2 Simplifying k = -2
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