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Simplifying 2A + -1B + 4C + -3D + 3E = 15 Solving 2A + -1B + 4C + -3D + 3E = 15 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add 'B' to each side of the equation. 2A + -1B + 4C + -3D + B + 3E = 15 + B Reorder the terms: 2A + -1B + B + 4C + -3D + 3E = 15 + B Combine like terms: -1B + B = 0 2A + 0 + 4C + -3D + 3E = 15 + B 2A + 4C + -3D + 3E = 15 + B Add '-4C' to each side of the equation. 2A + 4C + -3D + -4C + 3E = 15 + B + -4C Reorder the terms: 2A + 4C + -4C + -3D + 3E = 15 + B + -4C Combine like terms: 4C + -4C = 0 2A + 0 + -3D + 3E = 15 + B + -4C 2A + -3D + 3E = 15 + B + -4C Add '3D' to each side of the equation. 2A + -3D + 3D + 3E = 15 + B + -4C + 3D Combine like terms: -3D + 3D = 0 2A + 0 + 3E = 15 + B + -4C + 3D 2A + 3E = 15 + B + -4C + 3D Add '-3E' to each side of the equation. 2A + 3E + -3E = 15 + B + -4C + 3D + -3E Combine like terms: 3E + -3E = 0 2A + 0 = 15 + B + -4C + 3D + -3E 2A = 15 + B + -4C + 3D + -3E Divide each side by '2'. A = 7.5 + 0.5B + -2C + 1.5D + -1.5E Simplifying A = 7.5 + 0.5B + -2C + 1.5D + -1.5E
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