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Simplifying -7k(-1 + 3a) = 5(3 + -5a) (-1 * -7k + 3a * -7k) = 5(3 + -5a) Reorder the terms: (-21ak + 7k) = 5(3 + -5a) (-21ak + 7k) = 5(3 + -5a) -21ak + 7k = (3 * 5 + -5a * 5) -21ak + 7k = (15 + -25a) Solving -21ak + 7k = 15 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. -21ak + 25a + 7k = 15 + -25a + 25a Reorder the terms: 25a + -21ak + 7k = 15 + -25a + 25a Combine like terms: -25a + 25a = 0 25a + -21ak + 7k = 15 + 0 25a + -21ak + 7k = 15 Add '-7k' to each side of the equation. 25a + -21ak + 7k + -7k = 15 + -7k Combine like terms: 7k + -7k = 0 25a + -21ak + 0 = 15 + -7k 25a + -21ak = 15 + -7k Reorder the terms: -15 + 25a + -21ak + 7k = 15 + -7k + -15 + 7k Reorder the terms: -15 + 25a + -21ak + 7k = 15 + -15 + -7k + 7k Combine like terms: 15 + -15 = 0 -15 + 25a + -21ak + 7k = 0 + -7k + 7k -15 + 25a + -21ak + 7k = -7k + 7k Combine like terms: -7k + 7k = 0 -15 + 25a + -21ak + 7k = 0 The solution to this equation could not be determined.
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