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Simplifying 3 + -9.5(1 + 3.5d) = 30.5 3 + (1 * -9.5 + 3.5d * -9.5) = 30.5 3 + (-9.5 + -33.25d) = 30.5 Combine like terms: 3 + -9.5 = -6.5 -6.5 + -33.25d = 30.5 Solving -6.5 + -33.25d = 30.5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + -33.25d = 30.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -33.25d = 30.5 + 6.5 -33.25d = 30.5 + 6.5 Combine like terms: 30.5 + 6.5 = 37 -33.25d = 37 Divide each side by '-33.25'. d = -1.112781955 Simplifying d = -1.112781955
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