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Simplifying -25 + 6d = 5(9d + 8) Reorder the terms: -25 + 6d = 5(8 + 9d) -25 + 6d = (8 * 5 + 9d * 5) -25 + 6d = (40 + 45d) Solving -25 + 6d = 40 + 45d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-45d' to each side of the equation. -25 + 6d + -45d = 40 + 45d + -45d Combine like terms: 6d + -45d = -39d -25 + -39d = 40 + 45d + -45d Combine like terms: 45d + -45d = 0 -25 + -39d = 40 + 0 -25 + -39d = 40 Add '25' to each side of the equation. -25 + 25 + -39d = 40 + 25 Combine like terms: -25 + 25 = 0 0 + -39d = 40 + 25 -39d = 40 + 25 Combine like terms: 40 + 25 = 65 -39d = 65 Divide each side by '-39'. d = -1.666666667 Simplifying d = -1.666666667
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