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Simplifying -5.5d + 3.7 + -1(2d + 0.6) + 2.7d = 0 Reorder the terms: -5.5d + 3.7 + -1(0.6 + 2d) + 2.7d = 0 -5.5d + 3.7 + (0.6 * -1 + 2d * -1) + 2.7d = 0 -5.5d + 3.7 + (-0.6 + -2d) + 2.7d = 0 Reorder the terms: 3.7 + -0.6 + -5.5d + -2d + 2.7d = 0 Combine like terms: 3.7 + -0.6 = 3.1 3.1 + -5.5d + -2d + 2.7d = 0 Combine like terms: -5.5d + -2d = -7.5d 3.1 + -7.5d + 2.7d = 0 Combine like terms: -7.5d + 2.7d = -4.8d 3.1 + -4.8d = 0 Solving 3.1 + -4.8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + -4.8d = 0 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -4.8d = 0 + -3.1 -4.8d = 0 + -3.1 Combine like terms: 0 + -3.1 = -3.1 -4.8d = -3.1 Divide each side by '-4.8'. d = 0.6458333333 Simplifying d = 0.6458333333
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