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Simplifying 37 + -1(4d + -6) + 9d = 108 Reorder the terms: 37 + -1(-6 + 4d) + 9d = 108 37 + (-6 * -1 + 4d * -1) + 9d = 108 37 + (6 + -4d) + 9d = 108 Combine like terms: 37 + 6 = 43 43 + -4d + 9d = 108 Combine like terms: -4d + 9d = 5d 43 + 5d = 108 Solving 43 + 5d = 108 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 5d = 108 + -43 Combine like terms: 43 + -43 = 0 0 + 5d = 108 + -43 5d = 108 + -43 Combine like terms: 108 + -43 = 65 5d = 65 Divide each side by '5'. d = 13 Simplifying d = 13
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