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Simplifying 5.4 + -10.9d = 9.1d + -14.6 Reorder the terms: 5.4 + -10.9d = -14.6 + 9.1d Solving 5.4 + -10.9d = -14.6 + 9.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9.1d' to each side of the equation. 5.4 + -10.9d + -9.1d = -14.6 + 9.1d + -9.1d Combine like terms: -10.9d + -9.1d = -20d 5.4 + -20d = -14.6 + 9.1d + -9.1d Combine like terms: 9.1d + -9.1d = 0.0 5.4 + -20d = -14.6 + 0.0 5.4 + -20d = -14.6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -20d = -14.6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -20d = -14.6 + -5.4 -20d = -14.6 + -5.4 Combine like terms: -14.6 + -5.4 = -20 -20d = -20 Divide each side by '-20'. d = 1 Simplifying d = 1
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