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Simplifying 1.3(8 + -1d) + 3.7d = -5.2 (8 * 1.3 + -1d * 1.3) + 3.7d = -5.2 (10.4 + -1.3d) + 3.7d = -5.2 Combine like terms: -1.3d + 3.7d = 2.4d 10.4 + 2.4d = -5.2 Solving 10.4 + 2.4d = -5.2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10.4' to each side of the equation. 10.4 + -10.4 + 2.4d = -5.2 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 2.4d = -5.2 + -10.4 2.4d = -5.2 + -10.4 Combine like terms: -5.2 + -10.4 = -15.6 2.4d = -15.6 Divide each side by '2.4'. d = -6.5 Simplifying d = -6.5
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