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Simplifying -5.6d + 3.1 + -1(3d + 0.4) + 3.5d = 0 Reorder the terms: -5.6d + 3.1 + -1(0.4 + 3d) + 3.5d = 0 -5.6d + 3.1 + (0.4 * -1 + 3d * -1) + 3.5d = 0 -5.6d + 3.1 + (-0.4 + -3d) + 3.5d = 0 Reorder the terms: 3.1 + -0.4 + -5.6d + -3d + 3.5d = 0 Combine like terms: 3.1 + -0.4 = 2.7 2.7 + -5.6d + -3d + 3.5d = 0 Combine like terms: -5.6d + -3d = -8.6d 2.7 + -8.6d + 3.5d = 0 Combine like terms: -8.6d + 3.5d = -5.1d 2.7 + -5.1d = 0 Solving 2.7 + -5.1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + -5.1d = 0 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -5.1d = 0 + -2.7 -5.1d = 0 + -2.7 Combine like terms: 0 + -2.7 = -2.7 -5.1d = -2.7 Divide each side by '-5.1'. d = 0.5294117647 Simplifying d = 0.5294117647
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