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Simplifying 2.53 + 12.9d = -11.1d + 6.61 + 12.72 Reorder the terms: 2.53 + 12.9d = 6.61 + 12.72 + -11.1d Combine like terms: 6.61 + 12.72 = 19.33 2.53 + 12.9d = 19.33 + -11.1d Solving 2.53 + 12.9d = 19.33 + -11.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '11.1d' to each side of the equation. 2.53 + 12.9d + 11.1d = 19.33 + -11.1d + 11.1d Combine like terms: 12.9d + 11.1d = 24d 2.53 + 24d = 19.33 + -11.1d + 11.1d Combine like terms: -11.1d + 11.1d = 0.0 2.53 + 24d = 19.33 + 0.0 2.53 + 24d = 19.33 Add '-2.53' to each side of the equation. 2.53 + -2.53 + 24d = 19.33 + -2.53 Combine like terms: 2.53 + -2.53 = 0.00 0.00 + 24d = 19.33 + -2.53 24d = 19.33 + -2.53 Combine like terms: 19.33 + -2.53 = 16.8 24d = 16.8 Divide each side by '24'. d = 0.7 Simplifying d = 0.7
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