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Simplifying 1A + 2B + 3C + 4D + 5E + 6F + 7G = 98 Solving 1A + 2B + 3C + 4D + 5E + 6F + 7G = 98 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2B' to each side of the equation. 1A + 2B + 3C + 4D + 5E + 6F + -2B + 7G = 98 + -2B Reorder the terms: 1A + 2B + -2B + 3C + 4D + 5E + 6F + 7G = 98 + -2B Combine like terms: 2B + -2B = 0 1A + 0 + 3C + 4D + 5E + 6F + 7G = 98 + -2B 1A + 3C + 4D + 5E + 6F + 7G = 98 + -2B Add '-3C' to each side of the equation. 1A + 3C + 4D + 5E + 6F + -3C + 7G = 98 + -2B + -3C Reorder the terms: 1A + 3C + -3C + 4D + 5E + 6F + 7G = 98 + -2B + -3C Combine like terms: 3C + -3C = 0 1A + 0 + 4D + 5E + 6F + 7G = 98 + -2B + -3C 1A + 4D + 5E + 6F + 7G = 98 + -2B + -3C Add '-4D' to each side of the equation. 1A + 4D + 5E + 6F + -4D + 7G = 98 + -2B + -3C + -4D Reorder the terms: 1A + 4D + -4D + 5E + 6F + 7G = 98 + -2B + -3C + -4D Combine like terms: 4D + -4D = 0 1A + 0 + 5E + 6F + 7G = 98 + -2B + -3C + -4D 1A + 5E + 6F + 7G = 98 + -2B + -3C + -4D Add '-5E' to each side of the equation. 1A + 5E + 6F + -5E + 7G = 98 + -2B + -3C + -4D + -5E Reorder the terms: 1A + 5E + -5E + 6F + 7G = 98 + -2B + -3C + -4D + -5E Combine like terms: 5E + -5E = 0 1A + 0 + 6F + 7G = 98 + -2B + -3C + -4D + -5E 1A + 6F + 7G = 98 + -2B + -3C + -4D + -5E Add '-6F' to each side of the equation. 1A + 6F + -6F + 7G = 98 + -2B + -3C + -4D + -5E + -6F Combine like terms: 6F + -6F = 0 1A + 0 + 7G = 98 + -2B + -3C + -4D + -5E + -6F 1A + 7G = 98 + -2B + -3C + -4D + -5E + -6F Add '-7G' to each side of the equation. 1A + 7G + -7G = 98 + -2B + -3C + -4D + -5E + -6F + -7G Combine like terms: 7G + -7G = 0 1A + 0 = 98 + -2B + -3C + -4D + -5E + -6F + -7G 1A = 98 + -2B + -3C + -4D + -5E + -6F + -7G Divide each side by '1'. A = 98 + -2B + -3C + -4D + -5E + -6F + -7G Simplifying A = 98 + -2B + -3C + -4D + -5E + -6F + -7G
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