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Simplifying a + -6b + 3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 0 Solving a + -6b + 3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 3c + -7d + e + 6f + 9g + -2h + -2j + 6b + 7k = 0 + 6b Reorder the terms: a + -6b + 6b + 3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 0 + 6b Combine like terms: -6b + 6b = 0 a + 0 + 3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 0 + 6b a + 3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 0 + 6b Remove the zero: a + 3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 6b Add '-3c' to each side of the equation. a + 3c + -7d + e + 6f + 9g + -2h + -2j + -3c + 7k = 6b + -3c Reorder the terms: a + 3c + -3c + -7d + e + 6f + 9g + -2h + -2j + 7k = 6b + -3c Combine like terms: 3c + -3c = 0 a + 0 + -7d + e + 6f + 9g + -2h + -2j + 7k = 6b + -3c a + -7d + e + 6f + 9g + -2h + -2j + 7k = 6b + -3c Add '7d' to each side of the equation. a + -7d + e + 6f + 9g + -2h + -2j + 7d + 7k = 6b + -3c + 7d Reorder the terms: a + -7d + 7d + e + 6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d Combine like terms: -7d + 7d = 0 a + 0 + e + 6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d a + e + 6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d Add '-1e' to each side of the equation. a + e + 6f + 9g + -2h + -2j + -1e + 7k = 6b + -3c + 7d + -1e Reorder the terms: a + e + -1e + 6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e Combine like terms: e + -1e = 0 a + 0 + 6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e a + 6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e Add '-6f' to each side of the equation. a + 6f + 9g + -2h + -2j + -6f + 7k = 6b + -3c + 7d + -1e + -6f Reorder the terms: a + 6f + -6f + 9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f Combine like terms: 6f + -6f = 0 a + 0 + 9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f a + 9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f Add '-9g' to each side of the equation. a + 9g + -2h + -2j + -9g + 7k = 6b + -3c + 7d + -1e + -6f + -9g Reorder the terms: a + 9g + -9g + -2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g Combine like terms: 9g + -9g = 0 a + 0 + -2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g a + -2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g Add '2h' to each side of the equation. a + -2h + -2j + 2h + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h Reorder the terms: a + -2h + 2h + -2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h Combine like terms: -2h + 2h = 0 a + 0 + -2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h a + -2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h Add '2j' to each side of the equation. a + -2j + 2j + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j Combine like terms: -2j + 2j = 0 a + 0 + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j a + 7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j Add '-7k' to each side of the equation. a + 7k + -7k = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j + -7k Combine like terms: 7k + -7k = 0 a + 0 = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j + -7k a = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j + -7k Simplifying a = 6b + -3c + 7d + -1e + -6f + -9g + 2h + 2j + -7k
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