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Simplifying 3A + 2B + -4C + 5D + 3E + 2F = 74 Solving 3A + 2B + -4C + 5D + 3E + 2F = 74 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. 3A + 2B + -4C + 5D + 3E + -2B + 2F = 74 + -2B Reorder the terms: 3A + 2B + -2B + -4C + 5D + 3E + 2F = 74 + -2B Combine like terms: 2B + -2B = 0 3A + 0 + -4C + 5D + 3E + 2F = 74 + -2B 3A + -4C + 5D + 3E + 2F = 74 + -2B Add '4C' to each side of the equation. 3A + -4C + 5D + 3E + 4C + 2F = 74 + -2B + 4C Reorder the terms: 3A + -4C + 4C + 5D + 3E + 2F = 74 + -2B + 4C Combine like terms: -4C + 4C = 0 3A + 0 + 5D + 3E + 2F = 74 + -2B + 4C 3A + 5D + 3E + 2F = 74 + -2B + 4C Add '-5D' to each side of the equation. 3A + 5D + 3E + -5D + 2F = 74 + -2B + 4C + -5D Reorder the terms: 3A + 5D + -5D + 3E + 2F = 74 + -2B + 4C + -5D Combine like terms: 5D + -5D = 0 3A + 0 + 3E + 2F = 74 + -2B + 4C + -5D 3A + 3E + 2F = 74 + -2B + 4C + -5D Add '-3E' to each side of the equation. 3A + 3E + -3E + 2F = 74 + -2B + 4C + -5D + -3E Combine like terms: 3E + -3E = 0 3A + 0 + 2F = 74 + -2B + 4C + -5D + -3E 3A + 2F = 74 + -2B + 4C + -5D + -3E Add '-2F' to each side of the equation. 3A + 2F + -2F = 74 + -2B + 4C + -5D + -3E + -2F Combine like terms: 2F + -2F = 0 3A + 0 = 74 + -2B + 4C + -5D + -3E + -2F 3A = 74 + -2B + 4C + -5D + -3E + -2F Divide each side by '3'. A = 24.66666667 + -0.6666666667B + 1.333333333C + -1.666666667D + -1E + -0.6666666667F Simplifying A = 24.66666667 + -0.6666666667B + 1.333333333C + -1.666666667D + -1E + -0.6666666667F
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