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Simplifying 4(d + e) + -5(d + -2e) = 0 (d * 4 + e * 4) + -5(d + -2e) = 0 (4d + 4e) + -5(d + -2e) = 0 4d + 4e + (d * -5 + -2e * -5) = 0 4d + 4e + (-5d + 10e) = 0 Reorder the terms: 4d + -5d + 4e + 10e = 0 Combine like terms: 4d + -5d = -1d -1d + 4e + 10e = 0 Combine like terms: 4e + 10e = 14e -1d + 14e = 0 Solving -1d + 14e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14e' to each side of the equation. -1d + 14e + -14e = 0 + -14e Combine like terms: 14e + -14e = 0 -1d + 0 = 0 + -14e -1d = 0 + -14e Remove the zero: -1d = -14e Divide each side by '-1'. d = 14e Simplifying d = 14e
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