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Simplifying 4A + -8B + -9C + -2D + -2G = -74 Solving 4A + -8B + -9C + -2D + -2G = -74 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '8B' to each side of the equation. 4A + -8B + -9C + -2D + 8B + -2G = -74 + 8B Reorder the terms: 4A + -8B + 8B + -9C + -2D + -2G = -74 + 8B Combine like terms: -8B + 8B = 0 4A + 0 + -9C + -2D + -2G = -74 + 8B 4A + -9C + -2D + -2G = -74 + 8B Add '9C' to each side of the equation. 4A + -9C + -2D + 9C + -2G = -74 + 8B + 9C Reorder the terms: 4A + -9C + 9C + -2D + -2G = -74 + 8B + 9C Combine like terms: -9C + 9C = 0 4A + 0 + -2D + -2G = -74 + 8B + 9C 4A + -2D + -2G = -74 + 8B + 9C Add '2D' to each side of the equation. 4A + -2D + 2D + -2G = -74 + 8B + 9C + 2D Combine like terms: -2D + 2D = 0 4A + 0 + -2G = -74 + 8B + 9C + 2D 4A + -2G = -74 + 8B + 9C + 2D Add '2G' to each side of the equation. 4A + -2G + 2G = -74 + 8B + 9C + 2D + 2G Combine like terms: -2G + 2G = 0 4A + 0 = -74 + 8B + 9C + 2D + 2G 4A = -74 + 8B + 9C + 2D + 2G Divide each side by '4'. A = -18.5 + 2B + 2.25C + 0.5D + 0.5G Simplifying A = -18.5 + 2B + 2.25C + 0.5D + 0.5G
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