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Simplifying 8d + 12.4 = 7 + -10d Reorder the terms: 12.4 + 8d = 7 + -10d Solving 12.4 + 8d = 7 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 12.4 + 8d + 10d = 7 + -10d + 10d Combine like terms: 8d + 10d = 18d 12.4 + 18d = 7 + -10d + 10d Combine like terms: -10d + 10d = 0 12.4 + 18d = 7 + 0 12.4 + 18d = 7 Add '-12.4' to each side of the equation. 12.4 + -12.4 + 18d = 7 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 18d = 7 + -12.4 18d = 7 + -12.4 Combine like terms: 7 + -12.4 = -5.4 18d = -5.4 Divide each side by '18'. d = -0.3 Simplifying d = -0.3
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