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Simplifying 5d + 8e + 10d + 7e = 0 Reorder the terms: 5d + 10d + 8e + 7e = 0 Combine like terms: 5d + 10d = 15d 15d + 8e + 7e = 0 Combine like terms: 8e + 7e = 15e 15d + 15e = 0 Solving 15d + 15e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15e' to each side of the equation. 15d + 15e + -15e = 0 + -15e Combine like terms: 15e + -15e = 0 15d + 0 = 0 + -15e 15d = 0 + -15e Remove the zero: 15d = -15e Divide each side by '15'. d = -1e Simplifying d = -1e
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