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Simplifying 41 + -89d + -74 + -5d + 4 + 7d = 0 Reorder the terms: 41 + -74 + 4 + -89d + -5d + 7d = 0 Combine like terms: 41 + -74 = -33 -33 + 4 + -89d + -5d + 7d = 0 Combine like terms: -33 + 4 = -29 -29 + -89d + -5d + 7d = 0 Combine like terms: -89d + -5d = -94d -29 + -94d + 7d = 0 Combine like terms: -94d + 7d = -87d -29 + -87d = 0 Solving -29 + -87d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -87d = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -87d = 0 + 29 -87d = 0 + 29 Combine like terms: 0 + 29 = 29 -87d = 29 Divide each side by '-87'. d = -0.3333333333 Simplifying d = -0.3333333333
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