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Simplifying 2(3d + -4e) + -5(d + 2e) = 0 (3d * 2 + -4e * 2) + -5(d + 2e) = 0 (6d + -8e) + -5(d + 2e) = 0 6d + -8e + (d * -5 + 2e * -5) = 0 6d + -8e + (-5d + -10e) = 0 Reorder the terms: 6d + -5d + -8e + -10e = 0 Combine like terms: 6d + -5d = 1d 1d + -8e + -10e = 0 Combine like terms: -8e + -10e = -18e 1d + -18e = 0 Solving 1d + -18e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18e' to each side of the equation. 1d + -18e + 18e = 0 + 18e Combine like terms: -18e + 18e = 0 1d + 0 = 0 + 18e 1d = 0 + 18e Remove the zero: 1d = 18e Divide each side by '1'. d = 18e Simplifying d = 18e
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