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