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Simplifying -5.1d + 4.9 + -1(2d + 0.4) + 2.8d = 0 Reorder the terms: -5.1d + 4.9 + -1(0.4 + 2d) + 2.8d = 0 -5.1d + 4.9 + (0.4 * -1 + 2d * -1) + 2.8d = 0 -5.1d + 4.9 + (-0.4 + -2d) + 2.8d = 0 Reorder the terms: 4.9 + -0.4 + -5.1d + -2d + 2.8d = 0 Combine like terms: 4.9 + -0.4 = 4.5 4.5 + -5.1d + -2d + 2.8d = 0 Combine like terms: -5.1d + -2d = -7.1d 4.5 + -7.1d + 2.8d = 0 Combine like terms: -7.1d + 2.8d = -4.3d 4.5 + -4.3d = 0 Solving 4.5 + -4.3d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + -4.3d = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -4.3d = 0 + -4.5 -4.3d = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -4.3d = -4.5 Divide each side by '-4.3'. d = 1.046511628 Simplifying d = 1.046511628
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