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Simplifying -3.2(5d + -7) = -17 Reorder the terms: -3.2(-7 + 5d) = -17 (-7 * -3.2 + 5d * -3.2) = -17 (22.4 + -16d) = -17 Solving 22.4 + -16d = -17 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22.4' to each side of the equation. 22.4 + -22.4 + -16d = -17 + -22.4 Combine like terms: 22.4 + -22.4 = 0.0 0.0 + -16d = -17 + -22.4 -16d = -17 + -22.4 Combine like terms: -17 + -22.4 = -39.4 -16d = -39.4 Divide each side by '-16'. d = 2.4625 Simplifying d = 2.4625
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