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Simplifying -7(k + a) = 9(k + -5) + -14k Reorder the terms: -7(a + k) = 9(k + -5) + -14k (a * -7 + k * -7) = 9(k + -5) + -14k (-7a + -7k) = 9(k + -5) + -14k Reorder the terms: -7a + -7k = 9(-5 + k) + -14k -7a + -7k = (-5 * 9 + k * 9) + -14k -7a + -7k = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -7a + -7k = -45 + -5k Solving -7a + -7k = -45 + -5k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7k' to each side of the equation. -7a + -7k + 7k = -45 + -5k + 7k Combine like terms: -7k + 7k = 0 -7a + 0 = -45 + -5k + 7k -7a = -45 + -5k + 7k Combine like terms: -5k + 7k = 2k -7a = -45 + 2k Divide each side by '-7'. a = 6.428571429 + -0.2857142857k Simplifying a = 6.428571429 + -0.2857142857k
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