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Simplifying 0.4d + 0.5 = -11.4 + -1.3d Reorder the terms: 0.5 + 0.4d = -11.4 + -1.3d Solving 0.5 + 0.4d = -11.4 + -1.3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1.3d' to each side of the equation. 0.5 + 0.4d + 1.3d = -11.4 + -1.3d + 1.3d Combine like terms: 0.4d + 1.3d = 1.7d 0.5 + 1.7d = -11.4 + -1.3d + 1.3d Combine like terms: -1.3d + 1.3d = 0.0 0.5 + 1.7d = -11.4 + 0.0 0.5 + 1.7d = -11.4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.7d = -11.4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.7d = -11.4 + -0.5 1.7d = -11.4 + -0.5 Combine like terms: -11.4 + -0.5 = -11.9 1.7d = -11.9 Divide each side by '1.7'. d = -7 Simplifying d = -7
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