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Simplifying 9 = 3 + 6(d + 7) Reorder the terms: 9 = 3 + 6(7 + d) 9 = 3 + (7 * 6 + d * 6) 9 = 3 + (42 + 6d) Combine like terms: 3 + 42 = 45 9 = 45 + 6d Solving 9 = 45 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 9 + -6d = 45 + 6d + -6d Combine like terms: 6d + -6d = 0 9 + -6d = 45 + 0 9 + -6d = 45 Add '-9' to each side of the equation. 9 + -9 + -6d = 45 + -9 Combine like terms: 9 + -9 = 0 0 + -6d = 45 + -9 -6d = 45 + -9 Combine like terms: 45 + -9 = 36 -6d = 36 Divide each side by '-6'. d = -6 Simplifying d = -6
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