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Simplifying A + -2B + 4C + 6D + 2E + 4F = 52 Solving A + -2B + 4C + 6D + 2E + 4F = 52 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. A + -2B + 4C + 6D + 2E + 2B + 4F = 52 + 2B Reorder the terms: A + -2B + 2B + 4C + 6D + 2E + 4F = 52 + 2B Combine like terms: -2B + 2B = 0 A + 0 + 4C + 6D + 2E + 4F = 52 + 2B A + 4C + 6D + 2E + 4F = 52 + 2B Add '-4C' to each side of the equation. A + 4C + 6D + 2E + -4C + 4F = 52 + 2B + -4C Reorder the terms: A + 4C + -4C + 6D + 2E + 4F = 52 + 2B + -4C Combine like terms: 4C + -4C = 0 A + 0 + 6D + 2E + 4F = 52 + 2B + -4C A + 6D + 2E + 4F = 52 + 2B + -4C Add '-6D' to each side of the equation. A + 6D + 2E + -6D + 4F = 52 + 2B + -4C + -6D Reorder the terms: A + 6D + -6D + 2E + 4F = 52 + 2B + -4C + -6D Combine like terms: 6D + -6D = 0 A + 0 + 2E + 4F = 52 + 2B + -4C + -6D A + 2E + 4F = 52 + 2B + -4C + -6D Add '-2E' to each side of the equation. A + 2E + -2E + 4F = 52 + 2B + -4C + -6D + -2E Combine like terms: 2E + -2E = 0 A + 0 + 4F = 52 + 2B + -4C + -6D + -2E A + 4F = 52 + 2B + -4C + -6D + -2E Add '-4F' to each side of the equation. A + 4F + -4F = 52 + 2B + -4C + -6D + -2E + -4F Combine like terms: 4F + -4F = 0 A + 0 = 52 + 2B + -4C + -6D + -2E + -4F A = 52 + 2B + -4C + -6D + -2E + -4F Simplifying A = 52 + 2B + -4C + -6D + -2E + -4F
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