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Simplifying A(3) + B(8) + C(-4) = D Reorder the terms for easier multiplication: 3A + B(8) + C(-4) = D Reorder the terms for easier multiplication: 3A + 8B + C(-4) = D Reorder the terms for easier multiplication: 3A + 8B + -4C = D Solving 3A + 8B + -4C = D 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. 3A + 8B + -8B + -4C = -8B + D Combine like terms: 8B + -8B = 0 3A + 0 + -4C = -8B + D 3A + -4C = -8B + D Add '4C' to each side of the equation. 3A + -4C + 4C = -8B + 4C + D Combine like terms: -4C + 4C = 0 3A + 0 = -8B + 4C + D 3A = -8B + 4C + D Divide each side by '3'. A = -2.666666667B + 1.333333333C + 0.3333333333D Simplifying A = -2.666666667B + 1.333333333C + 0.3333333333D
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