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Simplifying 5 + -9(1 + -4d) = 23 5 + (1 * -9 + -4d * -9) = 23 5 + (-9 + 36d) = 23 Combine like terms: 5 + -9 = -4 -4 + 36d = 23 Solving -4 + 36d = 23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 36d = 23 + 4 Combine like terms: -4 + 4 = 0 0 + 36d = 23 + 4 36d = 23 + 4 Combine like terms: 23 + 4 = 27 36d = 27 Divide each side by '36'. d = 0.75 Simplifying d = 0.75
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