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Simplifying A + -7B + -9C + -8D + 9E + 4F + 6G = 8 Solving A + -7B + -9C + -8D + 9E + 4F + 6G = 8 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '7B' to each side of the equation. A + -7B + -9C + -8D + 9E + 4F + 7B + 6G = 8 + 7B Reorder the terms: A + -7B + 7B + -9C + -8D + 9E + 4F + 6G = 8 + 7B Combine like terms: -7B + 7B = 0 A + 0 + -9C + -8D + 9E + 4F + 6G = 8 + 7B A + -9C + -8D + 9E + 4F + 6G = 8 + 7B Add '9C' to each side of the equation. A + -9C + -8D + 9E + 4F + 9C + 6G = 8 + 7B + 9C Reorder the terms: A + -9C + 9C + -8D + 9E + 4F + 6G = 8 + 7B + 9C Combine like terms: -9C + 9C = 0 A + 0 + -8D + 9E + 4F + 6G = 8 + 7B + 9C A + -8D + 9E + 4F + 6G = 8 + 7B + 9C Add '8D' to each side of the equation. A + -8D + 9E + 4F + 8D + 6G = 8 + 7B + 9C + 8D Reorder the terms: A + -8D + 8D + 9E + 4F + 6G = 8 + 7B + 9C + 8D Combine like terms: -8D + 8D = 0 A + 0 + 9E + 4F + 6G = 8 + 7B + 9C + 8D A + 9E + 4F + 6G = 8 + 7B + 9C + 8D Add '-9E' to each side of the equation. A + 9E + 4F + -9E + 6G = 8 + 7B + 9C + 8D + -9E Reorder the terms: A + 9E + -9E + 4F + 6G = 8 + 7B + 9C + 8D + -9E Combine like terms: 9E + -9E = 0 A + 0 + 4F + 6G = 8 + 7B + 9C + 8D + -9E A + 4F + 6G = 8 + 7B + 9C + 8D + -9E Add '-4F' to each side of the equation. A + 4F + -4F + 6G = 8 + 7B + 9C + 8D + -9E + -4F Combine like terms: 4F + -4F = 0 A + 0 + 6G = 8 + 7B + 9C + 8D + -9E + -4F A + 6G = 8 + 7B + 9C + 8D + -9E + -4F Add '-6G' to each side of the equation. A + 6G + -6G = 8 + 7B + 9C + 8D + -9E + -4F + -6G Combine like terms: 6G + -6G = 0 A + 0 = 8 + 7B + 9C + 8D + -9E + -4F + -6G A = 8 + 7B + 9C + 8D + -9E + -4F + -6G Simplifying A = 8 + 7B + 9C + 8D + -9E + -4F + -6G
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