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Simplifying 7d + -1d + 3e + 12 = 0 Reorder the terms: 12 + 7d + -1d + 3e = 0 Combine like terms: 7d + -1d = 6d 12 + 6d + 3e = 0 Solving 12 + 6d + 3e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6d + -12 + 3e = 0 + -12 Reorder the terms: 12 + -12 + 6d + 3e = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6d + 3e = 0 + -12 6d + 3e = 0 + -12 Combine like terms: 0 + -12 = -12 6d + 3e = -12 Add '-3e' to each side of the equation. 6d + 3e + -3e = -12 + -3e Combine like terms: 3e + -3e = 0 6d + 0 = -12 + -3e 6d = -12 + -3e Divide each side by '6'. d = -2 + -0.5e Simplifying d = -2 + -0.5e
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