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Simplifying 2d + 7e + -5f + 4d + -4e + 2f = 9 Reorder the terms: 2d + 4d + 7e + -4e + -5f + 2f = 9 Combine like terms: 2d + 4d = 6d 6d + 7e + -4e + -5f + 2f = 9 Combine like terms: 7e + -4e = 3e 6d + 3e + -5f + 2f = 9 Combine like terms: -5f + 2f = -3f 6d + 3e + -3f = 9 Solving 6d + 3e + -3f = 9 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3e' to each side of the equation. 6d + 3e + -3e + -3f = 9 + -3e Combine like terms: 3e + -3e = 0 6d + 0 + -3f = 9 + -3e 6d + -3f = 9 + -3e Add '3f' to each side of the equation. 6d + -3f + 3f = 9 + -3e + 3f Combine like terms: -3f + 3f = 0 6d + 0 = 9 + -3e + 3f 6d = 9 + -3e + 3f Divide each side by '6'. d = 1.5 + -0.5e + 0.5f Simplifying d = 1.5 + -0.5e + 0.5f
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