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Simplifying -8.86 + -1.3d = 2.9(d + 5.2) Reorder the terms: -8.86 + -1.3d = 2.9(5.2 + d) -8.86 + -1.3d = (5.2 * 2.9 + d * 2.9) -8.86 + -1.3d = (15.08 + 2.9d) Solving -8.86 + -1.3d = 15.08 + 2.9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.9d' to each side of the equation. -8.86 + -1.3d + -2.9d = 15.08 + 2.9d + -2.9d Combine like terms: -1.3d + -2.9d = -4.2d -8.86 + -4.2d = 15.08 + 2.9d + -2.9d Combine like terms: 2.9d + -2.9d = 0.0 -8.86 + -4.2d = 15.08 + 0.0 -8.86 + -4.2d = 15.08 Add '8.86' to each side of the equation. -8.86 + 8.86 + -4.2d = 15.08 + 8.86 Combine like terms: -8.86 + 8.86 = 0.00 0.00 + -4.2d = 15.08 + 8.86 -4.2d = 15.08 + 8.86 Combine like terms: 15.08 + 8.86 = 23.94 -4.2d = 23.94 Divide each side by '-4.2'. d = -5.7 Simplifying d = -5.7
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