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Simplifying 3a + -6b + -7c + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 0 Solving 3a + -6b + -7c + -2d + 2e + -5f + 5g + 4h + 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. 3a + -6b + -7c + -2d + 2e + -5f + 5g + 4h + 2j + 6b + -7k = 0 + 6b Reorder the terms: 3a + -6b + 6b + -7c + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 0 + 6b Combine like terms: -6b + 6b = 0 3a + 0 + -7c + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 0 + 6b 3a + -7c + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 0 + 6b Remove the zero: 3a + -7c + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 6b Add '7c' to each side of the equation. 3a + -7c + -2d + 2e + -5f + 5g + 4h + 2j + 7c + -7k = 6b + 7c Reorder the terms: 3a + -7c + 7c + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c Combine like terms: -7c + 7c = 0 3a + 0 + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c 3a + -2d + 2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c Add '2d' to each side of the equation. 3a + -2d + 2e + -5f + 5g + 4h + 2j + 2d + -7k = 6b + 7c + 2d Reorder the terms: 3a + -2d + 2d + 2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d Combine like terms: -2d + 2d = 0 3a + 0 + 2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d 3a + 2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d Add '-2e' to each side of the equation. 3a + 2e + -5f + 5g + 4h + 2j + -2e + -7k = 6b + 7c + 2d + -2e Reorder the terms: 3a + 2e + -2e + -5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e Combine like terms: 2e + -2e = 0 3a + 0 + -5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e 3a + -5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e Add '5f' to each side of the equation. 3a + -5f + 5g + 4h + 2j + 5f + -7k = 6b + 7c + 2d + -2e + 5f Reorder the terms: 3a + -5f + 5f + 5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f Combine like terms: -5f + 5f = 0 3a + 0 + 5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f 3a + 5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f Add '-5g' to each side of the equation. 3a + 5g + 4h + 2j + -5g + -7k = 6b + 7c + 2d + -2e + 5f + -5g Reorder the terms: 3a + 5g + -5g + 4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g Combine like terms: 5g + -5g = 0 3a + 0 + 4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g 3a + 4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g Add '-4h' to each side of the equation. 3a + 4h + 2j + -4h + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h Reorder the terms: 3a + 4h + -4h + 2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h Combine like terms: 4h + -4h = 0 3a + 0 + 2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h 3a + 2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h Add '-2j' to each side of the equation. 3a + 2j + -2j + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h + -2j Combine like terms: 2j + -2j = 0 3a + 0 + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h + -2j 3a + -7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h + -2j Add '7k' to each side of the equation. 3a + -7k + 7k = 6b + 7c + 2d + -2e + 5f + -5g + -4h + -2j + 7k Combine like terms: -7k + 7k = 0 3a + 0 = 6b + 7c + 2d + -2e + 5f + -5g + -4h + -2j + 7k 3a = 6b + 7c + 2d + -2e + 5f + -5g + -4h + -2j + 7k Divide each side by '3'. a = 2b + 2.333333333c + 0.6666666667d + -0.6666666667e + 1.666666667f + -1.666666667g + -1.333333333h + -0.6666666667j + 2.333333333k Simplifying a = 2b + 2.333333333c + 0.6666666667d + -0.6666666667e + 1.666666667f + -1.666666667g + -1.333333333h + -0.6666666667j + 2.333333333k
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