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Simplifying 4(3d + -4e) + 5(d + 2e) = 0 (3d * 4 + -4e * 4) + 5(d + 2e) = 0 (12d + -16e) + 5(d + 2e) = 0 12d + -16e + (d * 5 + 2e * 5) = 0 12d + -16e + (5d + 10e) = 0 Reorder the terms: 12d + 5d + -16e + 10e = 0 Combine like terms: 12d + 5d = 17d 17d + -16e + 10e = 0 Combine like terms: -16e + 10e = -6e 17d + -6e = 0 Solving 17d + -6e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6e' to each side of the equation. 17d + -6e + 6e = 0 + 6e Combine like terms: -6e + 6e = 0 17d + 0 = 0 + 6e 17d = 0 + 6e Remove the zero: 17d = 6e Divide each side by '17'. d = 0.3529411765e Simplifying d = 0.3529411765e
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