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Simplifying 5.1d + -11.35 = -7.4d + 0.97 + 13.9d Reorder the terms: -11.35 + 5.1d = -7.4d + 0.97 + 13.9d Reorder the terms: -11.35 + 5.1d = 0.97 + -7.4d + 13.9d Combine like terms: -7.4d + 13.9d = 6.5d -11.35 + 5.1d = 0.97 + 6.5d Solving -11.35 + 5.1d = 0.97 + 6.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6.5d' to each side of the equation. -11.35 + 5.1d + -6.5d = 0.97 + 6.5d + -6.5d Combine like terms: 5.1d + -6.5d = -1.4d -11.35 + -1.4d = 0.97 + 6.5d + -6.5d Combine like terms: 6.5d + -6.5d = 0.0 -11.35 + -1.4d = 0.97 + 0.0 -11.35 + -1.4d = 0.97 Add '11.35' to each side of the equation. -11.35 + 11.35 + -1.4d = 0.97 + 11.35 Combine like terms: -11.35 + 11.35 = 0.00 0.00 + -1.4d = 0.97 + 11.35 -1.4d = 0.97 + 11.35 Combine like terms: 0.97 + 11.35 = 12.32 -1.4d = 12.32 Divide each side by '-1.4'. d = -8.8 Simplifying d = -8.8
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