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Simplifying -7(k + a) = a(k + -5) + -14k Reorder the terms: -7(a + k) = a(k + -5) + -14k (a * -7 + k * -7) = a(k + -5) + -14k (-7a + -7k) = a(k + -5) + -14k Reorder the terms: -7a + -7k = a(-5 + k) + -14k -7a + -7k = (-5 * a + k * a) + -14k -7a + -7k = (-5a + ak) + -14k Solving -7a + -7k = -5a + ak + -14k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -7a + 5a + -7k = -5a + ak + 5a + -14k Combine like terms: -7a + 5a = -2a -2a + -7k = -5a + ak + 5a + -14k Reorder the terms: -2a + -7k = -5a + 5a + ak + -14k Combine like terms: -5a + 5a = 0 -2a + -7k = 0 + ak + -14k -2a + -7k = ak + -14k Add '-1ak' to each side of the equation. -2a + -1ak + -7k = ak + -1ak + -14k Combine like terms: ak + -1ak = 0 -2a + -1ak + -7k = 0 + -14k -2a + -1ak + -7k = -14k Add '7k' to each side of the equation. -2a + -1ak + -7k + 7k = -14k + 7k Combine like terms: -7k + 7k = 0 -2a + -1ak + 0 = -14k + 7k -2a + -1ak = -14k + 7k Combine like terms: -14k + 7k = -7k -2a + -1ak = -7k Combine like terms: -7k + 7k = 0 -2a + -1ak + 7k = 0 The solution to this equation could not be determined.
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