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Simplifying -5.2d + 4.4 + -1(2d + 0.4) + 2.1d = 0 Reorder the terms: -5.2d + 4.4 + -1(0.4 + 2d) + 2.1d = 0 -5.2d + 4.4 + (0.4 * -1 + 2d * -1) + 2.1d = 0 -5.2d + 4.4 + (-0.4 + -2d) + 2.1d = 0 Reorder the terms: 4.4 + -0.4 + -5.2d + -2d + 2.1d = 0 Combine like terms: 4.4 + -0.4 = 4 4 + -5.2d + -2d + 2.1d = 0 Combine like terms: -5.2d + -2d = -7.2d 4 + -7.2d + 2.1d = 0 Combine like terms: -7.2d + 2.1d = -5.1d 4 + -5.1d = 0 Solving 4 + -5.1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5.1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5.1d = 0 + -4 -5.1d = 0 + -4 Combine like terms: 0 + -4 = -4 -5.1d = -4 Divide each side by '-5.1'. d = 0.7843137255 Simplifying d = 0.7843137255
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