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Simplifying -24 = 2 + 9(d + 7) Reorder the terms: -24 = 2 + 9(7 + d) -24 = 2 + (7 * 9 + d * 9) -24 = 2 + (63 + 9d) Combine like terms: 2 + 63 = 65 -24 = 65 + 9d Solving -24 = 65 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -24 + -9d = 65 + 9d + -9d Combine like terms: 9d + -9d = 0 -24 + -9d = 65 + 0 -24 + -9d = 65 Add '24' to each side of the equation. -24 + 24 + -9d = 65 + 24 Combine like terms: -24 + 24 = 0 0 + -9d = 65 + 24 -9d = 65 + 24 Combine like terms: 65 + 24 = 89 -9d = 89 Divide each side by '-9'. d = -9.888888889 Simplifying d = -9.888888889
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