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Simplifying 5.7d + 1.76 + -17.5d = -12.2d + -5.64 Reorder the terms: 1.76 + 5.7d + -17.5d = -12.2d + -5.64 Combine like terms: 5.7d + -17.5d = -11.8d 1.76 + -11.8d = -12.2d + -5.64 Reorder the terms: 1.76 + -11.8d = -5.64 + -12.2d Solving 1.76 + -11.8d = -5.64 + -12.2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12.2d' to each side of the equation. 1.76 + -11.8d + 12.2d = -5.64 + -12.2d + 12.2d Combine like terms: -11.8d + 12.2d = 0.4d 1.76 + 0.4d = -5.64 + -12.2d + 12.2d Combine like terms: -12.2d + 12.2d = 0.0 1.76 + 0.4d = -5.64 + 0.0 1.76 + 0.4d = -5.64 Add '-1.76' to each side of the equation. 1.76 + -1.76 + 0.4d = -5.64 + -1.76 Combine like terms: 1.76 + -1.76 = 0.00 0.00 + 0.4d = -5.64 + -1.76 0.4d = -5.64 + -1.76 Combine like terms: -5.64 + -1.76 = -7.4 0.4d = -7.4 Divide each side by '0.4'. d = -18.5 Simplifying d = -18.5
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