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Simplifying -7.5 + 5.5(1 + 9d) = -17.5 -7.5 + (1 * 5.5 + 9d * 5.5) = -17.5 -7.5 + (5.5 + 49.5d) = -17.5 Combine like terms: -7.5 + 5.5 = -2 -2 + 49.5d = -17.5 Solving -2 + 49.5d = -17.5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 49.5d = -17.5 + 2 Combine like terms: -2 + 2 = 0 0 + 49.5d = -17.5 + 2 49.5d = -17.5 + 2 Combine like terms: -17.5 + 2 = -15.5 49.5d = -15.5 Divide each side by '49.5'. d = -0.3131313131 Simplifying d = -0.3131313131
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