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Simplifying -24 = 8 + 7(d + 9) Reorder the terms: -24 = 8 + 7(9 + d) -24 = 8 + (9 * 7 + d * 7) -24 = 8 + (63 + 7d) Combine like terms: 8 + 63 = 71 -24 = 71 + 7d Solving -24 = 71 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -24 + -7d = 71 + 7d + -7d Combine like terms: 7d + -7d = 0 -24 + -7d = 71 + 0 -24 + -7d = 71 Add '24' to each side of the equation. -24 + 24 + -7d = 71 + 24 Combine like terms: -24 + 24 = 0 0 + -7d = 71 + 24 -7d = 71 + 24 Combine like terms: 71 + 24 = 95 -7d = 95 Divide each side by '-7'. d = -13.57142857 Simplifying d = -13.57142857
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