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Simplifying -0.08 + -3.2d = 4.3(d + 9.4) Reorder the terms: -0.08 + -3.2d = 4.3(9.4 + d) -0.08 + -3.2d = (9.4 * 4.3 + d * 4.3) -0.08 + -3.2d = (40.42 + 4.3d) Solving -0.08 + -3.2d = 40.42 + 4.3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4.3d' to each side of the equation. -0.08 + -3.2d + -4.3d = 40.42 + 4.3d + -4.3d Combine like terms: -3.2d + -4.3d = -7.5d -0.08 + -7.5d = 40.42 + 4.3d + -4.3d Combine like terms: 4.3d + -4.3d = 0.0 -0.08 + -7.5d = 40.42 + 0.0 -0.08 + -7.5d = 40.42 Add '0.08' to each side of the equation. -0.08 + 0.08 + -7.5d = 40.42 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -7.5d = 40.42 + 0.08 -7.5d = 40.42 + 0.08 Combine like terms: 40.42 + 0.08 = 40.5 -7.5d = 40.5 Divide each side by '-7.5'. d = -5.4 Simplifying d = -5.4
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