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Simplifying -17 = -5.5 + 6.5(d + 8.5) Reorder the terms: -17 = -5.5 + 6.5(8.5 + d) -17 = -5.5 + (8.5 * 6.5 + d * 6.5) -17 = -5.5 + (55.25 + 6.5d) Combine like terms: -5.5 + 55.25 = 49.75 -17 = 49.75 + 6.5d Solving -17 = 49.75 + 6.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6.5d' to each side of the equation. -17 + -6.5d = 49.75 + 6.5d + -6.5d Combine like terms: 6.5d + -6.5d = 0.0 -17 + -6.5d = 49.75 + 0.0 -17 + -6.5d = 49.75 Add '17' to each side of the equation. -17 + 17 + -6.5d = 49.75 + 17 Combine like terms: -17 + 17 = 0 0 + -6.5d = 49.75 + 17 -6.5d = 49.75 + 17 Combine like terms: 49.75 + 17 = 66.75 -6.5d = 66.75 Divide each side by '-6.5'. d = -10.26923077 Simplifying d = -10.26923077
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