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Simplifying 4(3d + -2e) + -1(2d + -5e) = 0 (3d * 4 + -2e * 4) + -1(2d + -5e) = 0 (12d + -8e) + -1(2d + -5e) = 0 12d + -8e + (2d * -1 + -5e * -1) = 0 12d + -8e + (-2d + 5e) = 0 Reorder the terms: 12d + -2d + -8e + 5e = 0 Combine like terms: 12d + -2d = 10d 10d + -8e + 5e = 0 Combine like terms: -8e + 5e = -3e 10d + -3e = 0 Solving 10d + -3e = 0 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. 10d + -3e + 3e = 0 + 3e Combine like terms: -3e + 3e = 0 10d + 0 = 0 + 3e 10d = 0 + 3e Remove the zero: 10d = 3e Divide each side by '10'. d = 0.3e Simplifying d = 0.3e
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