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Simplifying 25 + 9d = -7(2d + -8) Reorder the terms: 25 + 9d = -7(-8 + 2d) 25 + 9d = (-8 * -7 + 2d * -7) 25 + 9d = (56 + -14d) Solving 25 + 9d = 56 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. 25 + 9d + 14d = 56 + -14d + 14d Combine like terms: 9d + 14d = 23d 25 + 23d = 56 + -14d + 14d Combine like terms: -14d + 14d = 0 25 + 23d = 56 + 0 25 + 23d = 56 Add '-25' to each side of the equation. 25 + -25 + 23d = 56 + -25 Combine like terms: 25 + -25 = 0 0 + 23d = 56 + -25 23d = 56 + -25 Combine like terms: 56 + -25 = 31 23d = 31 Divide each side by '23'. d = 1.347826087 Simplifying d = 1.347826087
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